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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 $2\cdot\cos^2\left(x\right)-\cos\left(2\cdot x\right)=1$
Prove the identity $cot^2t+1=\csc^2\left(t\right)$
Prove the identity $sin\left(x\right)=2sin\left(\frac{x}{2}\right)cos\left(\frac{x}{2}\right)$
Prove the identity $\frac{cos\left(x\right)}{sen\left(x\right)}=\frac{1}{tan\left(x\right)}$
Prove the identity $\frac{2}{\cot\left(x\right)-\tan\left(x\right)}=\tan\left(2x\right)$
Prove the identity $-\sin^2x\cdot\sec^2\left(x\right)=-\tan^2\left(x\right)$
Prove the identity $\sec x^4-\tan\left(x\right)^4=1+2\tan\left(x\right)^2$

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Trigonometric Identities

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