Question

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

Answer 1

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