Question

(9) If a cos 0 + b sin 0 = 4 and a sin 0-b cos 0 = 3, then a² + b² -​

Answer 1

Answer:

25

Step-by-step explanation:

a cos0 + b sin0 = 4.

a (1) + b (0) = 4   =>   a  +  0  = 4    => a = 4

a sin0 - b cos0 = 3   =>  a (0) - b (1) = 3  =>  4 (0) - b = 3

0 - b = 3, b = -3.

a² + b² is therefore (4)² + (-3)² = 16 + 9 = 25