Question

If 4sin theta=3cos theta find 4 cos square theta -3sin square theta+2

Answer 1

Answer:

87 / 25

Step-by-step explanation:

tan θ = sin θ / cos θ = 3 / 4

So we have a 3:4:5 right angle triangle

sin θ = ± 3 / 5   =>   sin² θ = 9 / 25

cos θ = ± 4 / 5   =>   cos² θ = 16 / 25

4 cos² θ - 3 sin² θ + 2

= 64 / 25 - 27 / 25 + 50 / 25

= 87 / 25