Trigonometric Identities and Equations

a.

Solve the equation $sin^2 x = \tan^2 x$ for $0∘≤x≤180∘0^\circ \leq x \leq 180^\circ$

[5]

b.

Prove that $2sin⁡x−cos⁡2x+12+sin⁡x≡sin⁡x\displaystyle \frac{2 \sin x - \cos^2 x + 1}{2 + \sin x} \equiv \sin x$

[3]

a.

Solve the equation $sin^2 x = \tan^2 x$ for $0∘≤x≤180∘0^\circ \leq x \leq 180^\circ$

[5]

b.

Prove that $2sin⁡x−cos⁡2x+12+sin⁡x≡sin⁡x\displaystyle \frac{2 \sin x - \cos^2 x + 1}{2 + \sin x} \equiv \sin x$

[3]

Trigonometric Identities and Equations Questions