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Is it true that the sum of squares of sines of all angles of a right angled triangle is equal to 2. If yes then how to prove.

Nirabhra Agrawal , 14 Years ago
Grade 12
anser 1 Answers
AKASH GOYAL AskiitiansExpert-IITD

Last Activity: 14 Years ago

Dear Nirabhra

As angles of right angle triangle are 90,a,b

(sin90)2+(sin a)2+(sin b)2

=1+(sin a)2+(sin (90-a))2

=1+(sin a)2+(cos a)2

=1+1

=2

All the best.

AKASH GOYAL

AskiitiansExpert-IITD

 

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