Solve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and more 👍 Correct answer to the question Provetan^2xcot^2 =sec^2xcosec^2x2 eeduanswerscomProve the following tan x cot x = 2 cosec 2x Maharashtra State Board HSC Science (Computer Science) 11th Textbook Solutions 6926 Important Solutions 16 Question Bank Solutions 4566 Concept Notes & Videos 330 Syllabus Advertisement Remove all ads Prove the following tan x
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Tan^2x+cot^2x=sec^2x+cosec^2x-2-Prove that sec^2xcosec^2x=tan^2cot^2x ?To ask Unlimited Maths doubts download Doubtnut from https//googl/9WZjCW `cot x cos ^2 x tan x sin ^2 x = 2 cot 2x`
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Click here👆to get an answer to your question ️ Solve cot ^2x tan ^2x = 4cot2xcosec2x Join / Login > 11th > Maths > Trigonometric Functions > Trigonometric Equations > Solve cot ^2x tan ^2x = 4 maths Solve cot 2 x − tan 2 x = 4 cot 2 x cosec 2 x Medium If 3 sec θ 2 sec 4(sec^2x tan^2x)(cosec^2x cot^2x) = 1 2sec^2xcosec^2x btw sec^2x means sec squared x idk if i wrote that clearly Anyway, the hint given on the sheet is to replace both tan squared x and cot squared x with identities and expand the brackets I did that and I got (2sec^2x 1)(2cosec^2x 1) and when expanded that is 4cosec^2xsec^2x 2sec^2xClick here👆to get an answer to your question ️ Prove (i) tan x cot x = sec x cosec x (ii) sec^2x cosec^2x = sec^2x cosec ^2x
My math teacher always told me to tackle the most complicated side of a trig identity first (More complicated, by the way, usually means sums) Thus, let's look at math\tan{x}\cot{x}/math There's not much relating them, so you can always us Proving $(sec^2xtan^2x)(csc^2xcot^2x)=12sec^2xcsc^2x 1`tan x(cot x tan x) = 1tan^2 x` Opening the brackets, you'll have`tanx*cotx tan^2x = 1tan^ 2 x` The cotangent function is the inverse of tangent, therefore tanx*cot x = 1
Let y = √ ( sec 2 x cosec 2 x) = √ (1/cos 2 x 1/sin 2 x) = √ ( sin 2 x cos 2 x)/cos 2 x sin 2 x = 1/cos x sin x = 2/sin 2x = 2 cosec 2x dy/dx = 2 ×cosec 2x cot 2x ×2 = 4 cosec 2x cot 2x Hence option (2) is the answer Left hand side identity = (1Tan^2x)/Csc^2x = (1Tan^2x)/(1/Sin^2x) = Sin^2x(1Tan^2x) = (1Cos^2x)(1Tan^2x) = 1Tan^2xCos^2xCos^2xTan^2x = 1Tan^2xCos^2xCos^2x Explanation to prove cot2 tan2x = sec2xcsc2x −2 take LHS nad change to sines and cosines cot2x tan2 = cos2x sin2x sin2x cos2x add as fractions with common denominator = cos4x sin4x sin2xcos2x = (cos2x sin2x)2 − 2sin2xcos2x sin2xcos2x = 12
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Show that sec^2x cosec^2x greater than equal to 4 jatinarora jatinarora Math Secondary School answered Show that sec^2x cosec^2x greater than equal to 4 2 SeeSolve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and moreShow that tan (x) cot (x) = 2cosec (2x) For this we have to use trignometric identities, eg Tan (x)= sin (x)/cos (x), sin 2 (x) cos 2 (x) = 1, 1/sin (x) = cosec (x)
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Trigonometri är det område av matematiken i vilket sambanden mellan en triangels olika storheter beskrivs med trigonometriska funktioner Trigonometriska funktioner är sammanfattande benämning på de matematiska funktionerna sinus, cosinus, Tan^2x1=sec^2x proof tan^2 x1=sec^2x So to get 1 on the other side of the equal sign wouldn't it be sec^2xtan^2x=1?Verify (1tan^2x)/(1cot^2x) = 1sec^2x Answered by a verified Math Tutor or Teacher We use cookies to give you the best possible experience on our website By continuing to use this site you consent to the use of cookies on your device as described in$$9\sec^2x16\csc^2x=9(1\tan^2x)16(1\cot^2x)$$ $$=916(3\tan x4\cot x)^22\cdot3\tan x\cdot4\cot x\ge2524$$ The equality occurs if $3\tan x4\cot x=0$ Share
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simplify sin^2xcos^2xtan^2xcot^2xsec^2xcsc^2x2Welcome to Sarthaks eConnect A unique platform where students can interact with teachers/experts/students to get solutions to their queries Students (upto class 102) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (MainsAdvance) and NEET can ask questions from any subject and get quick answers by Prove the following identities ((1 cot x tan x )(sin x cos x))/(sec^3x cosec^3x) = sin^x cos^2x asked Jun 3 in Trigonometry by Eeshta01 ( 303k points) trigonometric functions
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Please help me, thanks 1 comment share save hide report 100% Upvoted This thread is archived New comments cannot be posted and votes cannot be cast Sort by best level 1 9yFound 2 solutions by ewatrrr, MathLover1 Answer by ewatrrr () ( Show Source ) You can put this solution on YOUR website! Solve tan^2x cot^2x sec^2x sin^2x cos^2x cosec^2x is 1 Log in Join now 1 Log in Join now Ask your question Brainly User Math Secondary School 15 pts Answered Solve tan^2x cot^2x sec^2x sin^2x cos^2x cosec^2x
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Simplify the expression 1,1cot^2x asec^2x bcsc^2x csin^2x dcos^2x etan^2xRewrite sec(x) sec ( x) in terms of sines and cosines Rewrite tan(x) tan ( x) in terms of sines and cosines Multiply by the reciprocal of the fraction to divide by 1 cos(x) 1 cos ( x) Write cos(x) cos ( x) as a fraction with denominator 1 1 Cancel the common factor of cos(x) cos ( x) up vote 1 down vote favorite
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X Now there are various ways to see it Of course it is easier knowing the standard identities and using them, but they all pretty much boil down to sin 2 x cos 2 x = 1, which is in turn another way of writing Pythagoras, and which will definitely help here `cos^2xsin^2x=1` `1tan^2x=sec^2x` `1cot^2x=csc^2x` `2\ cos^2x=1cos 2x` `2\ sin^2x=1cos 2x` The process that we use involves using the trigonometric ratios to simplify the expression, or to get the expression into a form that can be integratedI've been working on this problem for a little over three hours downand I just cant get the LHS to equal the RHS I've managed to get (tanx cotx)^2 to equal sec^2x * csc^2x but not sec^2x csc^2x
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Hi Simplifying the following (sec^2x csc^2x) (tan^2x cot^2x) tan^2x = sec^2x 1 cot^2x = csc^2x 1 (sec^2x csc^2x) (sec^2x 1 csc^2x 1)= 2Rewrite 1 cos(2x) 1 cos ( 2 x) as sec(2x) sec ( 2 x) sec(2x) sec ( 2 x) Because the two sides have been shown to be equivalent, the equation is an identity tan(2x) cot(2x) csc(2x) = sec(2x) tan ( 2 x) cot ( 2 x) csc ( 2 x) = sec ( 2 x) is an identityProve the following 2cosec 2x cosec x = secxcot(x2) Maharashtra State Board HSC Science (Electronics) 11th Textbook Solutions 6926 Important Solutions 17 Question Bank Solutions 4570 = `sec x cot (x/2)` = RHS Concept Trigonometric Functions of Triple Angle
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Prove that sec^2xcosec^2x=tan^2xcot^2x X Deduce c a parts and cosec^2 sec 1cot^2 v3 Integrate cot^2x Can you see a of way that to Answered Verify that each equation is an bartleby When we solve a equation trigonometric wea Solve the differential equation dydx 3y cot x = sin 2xAbout Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How works Test new features Press Copyright Contact us CreatorsWe use the inequality (AB)/2 >= √(AB) or AB >= 2√(AB) (1) a^2 sec^2 x b^2 cosec^2 x = a^2 (1tan^2 x) b^2 (1cot^2 x) = (a^2b^2) (a^2 tan^2 x
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Factorthen use fundamental identities to simplify the expression below and determine which of the following is not equivalent cot^2 a * tan^2 a cot^2 a A csc^ 2 alpha B1/ sin^ 2 alpha C1/ 1cos^ 2 alpha Dsec^ 2 alphaA1 B2 C3 D4 E0 math 4 csc 2x = 2 csc2 x tan x Algebra II Given the triangle below, find sec X, tan X, and cos X in fraction form *right triangle, hypotenuse goes from top right to bottom left, bottom side is longer than top side Top right point is z,Get an answer for 'how to prove tan^2xcot^2x=2 sec^x1cosec^2x1=2' and find homework help for other Math questions at eNotes
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Various Tasks \( \frac{tan^2x}{1cot^2x}\frac{cot^2x}{1tan^2x}=sec^2x\ cosec^2x3\\\\L=\frac{tan^2x(1tan^2x)cot^2x(1cot^2x)}{(1cot^2x)(1tan^2x)}=\frac{tan^2xCONVERT ALL COSEC/COT/SEC FUNCTIONS INTO FUNCTIONS USING SIN/TAN/COS = 1 / (sin2x) cos (2x) / sin (2x) COMBINE THE TWO FRACTIONS INTO ONE = 1cos (2x) / sin (2x) USE COS AND SIN DOUBLE ANGLE FORMULA a) COS (2X) = 2COS 2 (X) 1 b) SIN (2X
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