Math, asked by sreeharshakkinapalli, 5 hours ago

sin^-1(4/5)+sin^-1(5/13)=cos^-1(16/65)​

Answers

Answered by devikarana1212
0

Answer:

To prove :

sin

−1

5

4

+sin

−1

13

5

+sin

−1

65

16

=

2

π

LHS :

sin

−1

5

4

+sin

−1

13

5

+sin

−1

65

16

=tan

−1

3

4

+tan

−1

12

5

+tan

−1

63

16

=tan

−1

16

63

+tan

−1

63

16

=tan

−1

16

63

+cot

−1

16

63

=

2

π

= RHS

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