IB Mathematics Analysis and Approaches Question Type 2: Using the Identities to Rewrite Trigonometric Expressions Exercises

Express $\tan (3x)$ in terms of $\tan x$.

Show that ${\sin }^{3}x$ can be written in terms of $\sin (3x)$ and $\sin x$.

Express $\sin (4x)$ in terms of $\sin x$ and $\cos x$.

Express $\cos (5x)$ solely in terms of $\cos x$.

Express $\cos (3x)$ in terms of $\cos x$.

Rewrite the product $\sin x\cos x$ using a double-angle identity.

Express $\sin (5x)$ solely in terms of $\sin x$.

Express $\sin (3x)$ in terms of $\sin x$ and $\cos x$.

Express $\tan (2x)$ in terms of $\tan x$.

Express $\cos (2x)$ in terms of $\sin x$ and $\cos x$ in three equivalent forms.

Express $\cos (4x)$ in terms of $\cos x$.

Express $\sin (2x)$ in terms of $\sin (x)$ and $\cos (x)$.