Question

 Evaluate:-

sin(2cos ^​​​ -1 (-3/5 )). 

Answer 1

HEY!!

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▶Sin(2Cos^-1(-3/5) )

▶Sin (2Sin^-1 (4/5) )

▶Sin (Sin^-1 ( 2×4/5√9/25 )

▶Sin (Sin^-1 ( 24/25) )

▶24/25

Answer 2

Answer:

${\frac{24}{25}}$

Step-by-step explanation:

The given equation is:

$sin(2cos^{-1}(\frac{-3}{5}))$

using the trigonometry, we have

=$sin(2sin^{-1}({\frac{4}{5}))$

Simplifying the above equation

=$sin(sin^{-1}({\frac{24}{25}))$

=${\frac{24}{25}}$

which is the correct simplified form of the given equation.