prove that sin^-1 (-1/2) + - cos^-1 ( 3/2) = cos^-1 (-1/2) Q 2 Prove that sin-1-12+cos-1-32=cos-1-12 - Maths -

Question

prove that sin^-1 (-1/2) + ? - cos^-1 (?3/2) = cos^-1 (-1/2)
Q 2 Prove that sin - 1 - 1 2 + cos - 1 - 3 2 = cos - 1 - 1 2

Lovina Kansal · Accepted Answer

Dear student
sin-1-12+cos-1-32=cos-1-12LHS=sin-1-12+cos-1-32=-sin-112+π-cos-132=-sin-1sinπ6+π-cos-1cosπ6=-π6+π-π6=-π+6π-π6=2π3RHS=cos-1-12=π-cos-112=π-cos-1cosπ3=π-π3=2π3SO,sin-1-12+cos-1-32=cos-1-12
Regards

prove that sin^-1 (-1/2) + ? - cos^-1 (?3/2) = cos^-1 (-1/2) Q.2. Prove that sin - 1 - 1 2 + cos - 1 - 3 2 = cos - 1 - 1 2

prove that sin^-1 (-1/2) + ? - cos^-1 (?3/2) = cos^-1 (-1/2)
Q.2. Prove that $\sin^{- 1} (- \frac{1}{2}) + \cos^{- 1} (\frac{- \sqrt{3}}{2}) = \cos^{- 1} (- \frac{1}{2})$