If 9sin2x+5cos2x=6 where x is an acute angle then find x.
Answers
Answered by
3
Step-by-step explanation:
9sin²x + 5cos²x = 6
9sin²x + 5(1-sin²x) = 6 { cos²A = 1 - sin²A}
9sin²x + 5 - 5sin²x = 6
9sin²x - 5sin²x = 6- 5
4sin²x = 1
sin²x = ¼
sinx = √¼
sinx= ½
sinx = sin30°
x = 30°
Similar questions