Question

Prove that cos^−1 4/5+cos^−1 12/13=cos^−1 33/65

Answer 1

$\textbf{Hello Mate..}$

$\textbf{Question}$>>>>Prove that cos^−1 4/5+cos^−1 12/13=cos^−1 33/65

$\textbf{Your Answer}$>>>

Taking L.H.S>>>>>

$\{cos}^-1$ [ $\frac{4}{5}$ x $\frac{12}{13}$ - (√ 1 - $\frac{16}{25}$ )(√ 1 - $\frac{144}{169}$ )]

Solving The Under Root.. We Get>>>>>>

$\{cos}^-1$ [ $\frac{48}{65}$ - $\frac{3}{5}$ x $\frac{5}{13}$ ]

$\{cos}^-1$ [ $\frac{48}{65}$ - $\frac{15}{65}$ ]

$\{cos}^-1$ $\frac{33}{65}$

= R.H.S

So L.H.S = R.H.S

Hence Proved.....

Be BrAinlY....

@karangrover12