1. Given that sin = 3/5, 0 < < 90 determine from a suitably drawn triangle the values of cos and tan

1. Given that sin θ° = 3/5, 0 < θ° < 90° determine from a suitably drawn triangle the values of cos θ° and tan θ°.

2. Given that cos θ = 3/8, 0 < θ < π/2 , determine without using a calculator the values of sin θ and tan θ.

3. If tan θ = 8/15 and θ is an acute angle, calculate the values of sin θ and cos θ .

4. Given that tan θ = m² – n²/2mn , use a suitably drawn triangle to determine sin θ and cos θ in terms of m and n. Show that cos²θ + sin²θ = 1