sin 2 cos-1(- (3/5)) is equal to

Question

sin 2 cos-1(- (3/5)) is equal to (A) (6/25) (B) (24/25) (C) (4/5) (D) -(24/25)

Tardigrade Admin · Accepted Answer

sin 2 cos-1(- (3/5)) = 2 sin cos-1(- (3/5)) cos cos-1(- (3/5)) = 2 sin π - cos-1 (3/5) × (-(3/5)) = -(6/5)sin cos-1 (3/5) = -(6/5)sin(sin-1√1-(9/25)) = -(6/5) × (4/5) = -(24/25)

Q. $s in {2 co s^{- 1} (- \frac{3}{5})}$ is equal to

$\frac{6}{25}$

$\frac{24}{25}$

$\frac{4}{5}$

$- \frac{24}{25}$

Q. sin{2cos−1(−53​)} is equal to

256​

2524​

54​

−2524​

sin{2cos−1(−53​)} =2sin{cos−1(−53​)}cos{cos−1(−53​)} =2sin{π−cos−153​}×(−53​)=−56​sin{cos−153​} =−56​sin(sin−11−259​​) =−56​×54​=−2524​

Q. $s in {2 co s^{- 1} (- \frac{3}{5})}$ is equal to

$\frac{6}{25}$

$\frac{24}{25}$

$\frac{4}{5}$

$- \frac{24}{25}$