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Join for Free Problem Prove the given identity $$ \begin{aligned} &\si Uh oh!We need to prove `((1 tan^2 theta)cot theta)/(cosec^2 theta) = tan theta` Solving the LHS, we get `((1 tan^2 theta)cot theta)/(cosec^2 theta) = (sec^2 theta (cot theta))/(cosec^2 theta)` Using `sec theta = 1/cos theta, cot theta = cos theta/sin theta` `cosec theta = 1/sin thetaQuestion Prove Cos 2 Theta = 1 Tan^2 Theta/1 Tan^2 Theta This problem has been solved!
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Notice that the left side expresses the expansion of sine of double angle, hence the given identity `(2 tan theta)/(1 tan^2 theta ) = sin 2 theta ` is checked Approved by eNotes Editorial TeamAlgebra > Trigonometrybasics> SOLUTION Prove sin 2theta = 2tan theta/ 1 tan^2 theta Log On Algebra Trigonometry Section Solvers Solvers Lessons Lessons Answers archive Answers Click here to see ALL problems on Trigonometrybasics;Prove the given identity \frac{1\tan ^{2} \theta}{1\cot ^{2} \theta}=1\sec ^{2} \theta Our Discord hit 10K members!



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· We now use the sum formula for cosine to rewrite #cos2theta# as #cos(theta theta) = costhetacostheta sinthetasintheta = cos^2theta sin^2theta# #cos^2theta sin^2theta = cos^2theta sin^2theta# Identity proved!Click here👆to get an answer to your question ️ If tan^2 theta = 1 2tan^2 alpha , prove that sin^2 theta = 1/2(1 sin^2 alpha) · See below LHS =left hand side, RHS =right hand side Use Identity sec^2 theta=tan^2 theta 1 LHS =(sec ^2 theta)/sec ^2 theta =1



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