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