Question

If 4cos theta-5sin theta = 2cos theta + sin theta what is cos theta + tan theta

Answer 1

Answer:

(1+√2)/√2

Step-by-step explanation:

4cosθ - 5sinθ = 2cosθ + sinθ

6 cosθ = 6 sinθ

Tanθ = 1

=> θ = 45°

Now,

cosθ + Tanθ = cos45° + Tan45° = 1/√2 + 1 = (1+√2)/√2