show that:sin-1(8/17)+sin-1(3/5)=sin-1(77/85)
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Answer:
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Step-by-step explanation:
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Answered by
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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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