If sin A = (3/5), 0

Question

If sin A = (3/5), 0 < A < (π/2) and cos B = (-12/13) , π < B < (3 π/2), then the value of cos (A + B ) is (A) (65/33) (B) (33/65) (C)  - (65/33) (D) - (33/65)

Tardigrade Admin · Accepted Answer

Correct answer is (d) - (33/65)

Q. If $sin A = \frac{3}{5}, 0 < A < \frac{π}{2}$ and $cos B = \frac{- 12}{13}, π < B < \frac{3 π}{2}$ , then the value of $cos (A + B)$ is

$\frac{65}{33}$

$\frac{33}{65}$

$- \frac{65}{33}$

$- \frac{33}{65}$

Correct answer is (d) $- \frac{33}{65}$

Q. If sinA=53​,0<A<2π​ and cosB=13−12​,π<B<23π​, then the value of cos(A+B) is

3365​

6533​

−3365​

−6533​

Correct answer is (d) −6533​

Q. If $sin A = \frac{3}{5}, 0 < A < \frac{π}{2}$ and $cos B = \frac{- 12}{13}, π < B < \frac{3 π}{2}$ , then the value of $cos (A + B)$ is

$\frac{65}{33}$

$\frac{33}{65}$

$- \frac{65}{33}$

$- \frac{33}{65}$

Correct answer is (d) $- \frac{33}{65}$