Question

1 (a) Show that the equation cosθ + sinθ = 5cosθ can be written in the form tanθ = k.

(b) Hence, solve the equation cosθ + sinθ = 5cosθ for 0° < θ < 360°

Answer 1

Answer:

(a) cosø + sinø = 5cosø

sinø = 5cosø- cosø

sinø = 4cosø

sinø/cosø = 4

tanø = 4

tanø = k ( Taking 4 = k (constant))

Hence proved.