The value of sin-1 ((12/13)) - sin-1((3/5)) is equal to:

Question

The value of sin-1 ((12/13)) - sin-1((3/5)) is equal to: (A) π- sin-1 ((63/65))  (B) π- cos-1 ((33/65))  (C) (π/2) - sin-1 ((56/65))  (D) (π/2) - cos-1 ((9/65))

Tardigrade Admin · Accepted Answer

sin-1 ((12/13)) - sin-1 ((3/5)) sin-1 (x√1-y2 - y√1-x2) = sin1 ((33/65) ) = cos-1 ((56/65) ) =(π/2) - sin1((56/65))

Q. The value of $sin^{- 1} (\frac{12}{13}) - sin^{- 1} (\frac{3}{5})$ is equal to:

$π - sin^{- 1} (\frac{63}{65})$

$π - cos^{- 1} (\frac{33}{65})$

$\frac{π}{2} - sin^{- 1} (\frac{56}{65})$

$\frac{π}{2} - cos^{- 1} (\frac{9}{65})$

$sin^{- 1} (\frac{12}{13}) - sin^{- 1} (\frac{3}{5})$
$sin^{- 1} (x 1 - y^{2} - y 1 - x^{2})$
$= sin^{1} (\frac{33}{65}) = cos^{- 1} (\frac{56}{65}) = \frac{π}{2} - sin^{1} (\frac{56}{65})$

Q. The value of sin−1(1312​)−sin−1(53​) is equal to:

π−sin−1(6563​)

π−cos−1(6533​)

2π​−sin−1(6556​)

2π​−cos−1(659​)