Question

If θ and Φ lie in the first quadrant such that sinθ = 8/17 and cosφ = 12/13, find the values of

(i) sin(θ - φ)

(ii) cos(θ - φ)

(iii) tanθ - φ)

Answer 1

Given sinθ = \(\frac{8}{17}\) and \(cos\phi=\frac{12}{13}\)

(i) sin(θ - Φ) = sinθcosΦ + cosθsinΦ

(ii) cos(θ - Φ) = cosθ.cosΦ + sinθ.sinΦ

(iii) We will first find out the Values of tanθ and tanΦ,