Question

8. (i) If sin x + cos y = 1 and x = 30°, find
the value of y.
(ii) If 3 tan A - 5 cos B = 73 and B = 90°,
find the value of A.​

Answer 1

Step-by-step explanation:

$\huge\mathfrak{\underline{\underline{\red{Answer:-}}}}$

(1)sinx+cosy=1

sin30+cosy=1

1/2+cosy=1

1+2cosy=2

cosy=1/2

y=60 degree

(2)

3tanA-5cos90=73

3tan-(0)=73

tan=73/3

tanA=73/3=24.3

A=tan-¹(24.3) OK friend

Answer 2

Answer:

I) sin x + cos y = 1

sin 30° + cos y = 1

1/2 + cos y = 1

cos y = 1 - 1/2

cos y = 1/2

cos y = cos 60°

y = 60°

I) 3 tan A - 5 cos B = 73

3 tan A - 5 cos B = 73

3 tan A - 5 × 0 = 73

3 tan A = 73

tan A = 73/3

Step-by-step explanation:

hope it helps