Question

Express 1 − tan ⁡ θ sin ⁡ θ cos ⁡ θ in terms of cos ⁡ θ .

Answer 1

`1- \tan \theta \sin \theta \cos \theta \\\\=1- (\sin \theta)/(\cos \theta) \cdot \sin \theta \cdot \cos \theta\\\\=1-\sin^2 \theta \\\\=\cos^2 \theta`