Math, asked by abhishekbandane, 1 month ago

show that:sin-1(8/17)+sin-1(3/5)=sin-1(77/85)​

Answers

Answered by arjunsangwan2009
0

Answer:

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Step-by-step explanation:

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Answered by OshivaniM
0

Step-by-step explanation:

using

sin^-1 x + sin^-1 y = sin^-1 [x√(1-y²) + y√(1-x²)]

then

sin-1(8/17)+sin-1(3/5)=

= sin^-1[8/17×√(1-(3/5)² +3/5×√{1-(8/17)²] =sin^-1[8/17×√(1-(9/25) +3/5×√{1-64/289}]

=sin^-1[8/17×√(16/25) +3/5×√{225/289}]

=sin^-1[8/17×4/5 +3/5×15/17]

=sin^-1[32/85 +45/85]

=sin^-1[77/85]

HENCE PROVED

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