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Trigonometric Identities


Definition

In mathematics, trigonometric identities are equalities that involve trigonometric functions and are true for every single value of the occurring variables where both sides of the equality are defined.

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Problems Solved

Prove the identity $\tan\left(-x\right)=-tanx$
Prove the identity $\frac{cos\left(x\right)}{sen\left(x\right)}=\frac{1}{tan\left(x\right)}$
Prove the identity $sen2t=2sent\cdot cost$
Prove the identity $\sec=\sin\left(\tan+\cot\right)$
Prove the identity $\sin\left(-a\right)=-\sin\left(a\right)$
Prove the identity $sen\:a\left(1+cot^2a\right)=cosec\:a$
Prove the identity $\frac{\sec\left(\infty\right)}{\tan\left(\infty\right)+\cot\left(\infty\right)}=\sin\left(\infty\right)$
Prove the identity $\frac{Csc\left(x\right)}{Cot\left(x\right)}=\frac{1}{Cosx}$

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Proving Trigonometric Identities

Popular problems

$\frac{\tan\left(x\right)}{1+sec\left(x\right)}+\frac{1+sec\left(x\right)}{\tan\:\left(x\right)}=2\csc\left(x\right)$ 198 views
$\sec x-\cos\left(x\right)=\sin\left(x\right)\tan\left(x\right)$ 157 views
$\tan z\cdot\cos z\cdot\csc z=1$ 154 views
$\sec\left(x\right)\div\csc\left(x\right)=\frac{1}{\cot\left(x\right)}$ 116 views
$\frac{\cos\left(A\right)}{\cot\left(A\right)}=\sin\left(A\right)$ 96 views
$\frac{sin\left(x+y\right)}{cosxcosy}=tan\left(x\right)+tan\left(y\right)$ 89 views
$\frac{\csc\:\left(x\right)+\cot\:\left(x\right)}{\tan\left(x\right)+\sin\left(x\right)}=\cot\left(x\right)\csc\left(x\right)$ 82 views
$\frac{cos\left(x\right)}{1+sen\left(x\right)}+tan\left(x\right)=sec\left(x\right)$ 66 views