Question Type 2: Using the identities to rewrite trigonometric expressions Bootcamps

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

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

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

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

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

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

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

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

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

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

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

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