Question

12
Sin A + Cos B = 1, A = 30' and B is an acute angle, then find the value of 3.
If x=2sin' and y=2cos 0+1, then find x+y​

Answer 1

Answer:

(i) angle B is equal to 60°

(ii) x+y = 2sin²0 + 2cos²0 +1 =3

Step-by-step explanation:

(i) sinA+cosB=1

sin30 + cosB=1

sin30=1/2

1/2+cosB=1

cosB=1-1/2

cosB=1/2

cosB=60°

(ii) x=2sin²0 and y=2cos²0+1

x+y

2sin²0+2cos²0+1

2(sin²0+cos²0)+1

sin²0+cos²0=1

2(1)+1

2+1

3