Given $\cos\theta=\frac{4}{5}$cosθ=45 and $\sin\theta=\frac{3}{5}$sinθ=35:
Find the value of $\sin2\theta$sin2θ.
Find the value of $\cos2\theta$cos2θ.
Find the value of $\tan2\theta$tan2θ.
Simplify $\cos^2\left(15^\circ\right)-\sin^2\left(15^\circ\right)$cos2(15°)−sin2(15°).
Simplify $\frac{2\tan157.5^\circ}{1-\tan^2\left(157.5^\circ\right)}$2tan157.5°1−tan2(157.5°).
Simplify $2\sin22.5^\circ\cos22.5^\circ$2sin22.5°cos22.5°.