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Trigonometry


Definition

Trigonometry is a branch of mathematics that studies relationships involving lengths and angles of triangles.

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Problems Solved

Prove the identity $\frac{\left(\csc x-1\right)^2}{\cot^2x}=\frac{\csc x-1}{\csc x+1}$
Prove the identity $\sec\left(a\right)=\sec\left(-a\right)$
Prove the identity $1-\frac{\tan^2\left(x\right)}{1+\tan^2\left(x\right)}=\cos^2\left(x\right)$
Prove the identity $\tan^2\left(x\right)\sec^2\left(x\right)-\sec^2\left(x\right)+1=\frac{1}{\cot^4\left(x\right)}$
Prove the identity $\cot\left(a-b\right)=\frac{cot\left(a\right)cot\left(b\right)+1}{cot\left(b\right)-cot\left(a\right)}$
Prove the identity $\frac{\cos\left(x\right)\cos\left(x\right)}{1-\sin\left(x\right)}=1+\sin\left(x\right)$
Prove the identity $\sqrt{\frac{1-\cos\left(2A\right)}{1+\cos\left(2A\right)}}=\tan\left(A\right)$

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Trigonometric Identities

Popular problems

$tan\left(x\right)=\frac{sen\left(x\right)}{\sqrt{cos^2x}}$ 7 views
$\frac{1-\sin^2\left(x\right)}{1-\sin\left(x\right)}=1+\sin\left(x\right)$ 5 views
$1-\frac{\tan^2\left(x\right)}{1+\tan^2\left(x\right)}=\cos^2\left(x\right)$ 3 views
$\frac{\left(\csc x-1\right)^2}{\cot^2x}=\frac{\csc x-1}{\csc x+1}$ 3 views
$9cos^2x-9sin^2x=18cos^2x-9$ 3 views
$\sec\left(a\right)=\sec\left(-a\right)$ 2 views
$\frac{\cos\left(x\right)}{\frac{1}{\cos\left(x\right)}-\tan\left(x\right)}=1+\sin\left(x\right)$ 2 views
$\tan\left(a+45\right)=\frac{1+\tan\left(a\right)}{1-\tan\left(a\right)}$ 2 views