Question #834e4

1 Answer
P dilip_k
Apr 30, 2016

=(12+5sqrt3)/26=12+5√326

Explanation:

sin (sin^(–1)(1/2) + sin^–1(5/13))

=sin sin^(–1)((1/2)sqrt(1-(5/13)^2) + sqrt(1-(1/2)^2)(5/13))

=((1/2)sqrt(144/169) + sqrt(3/4)(5/13))
=((1/2)xx12/13 + sqrt(3)/2(5/13))
=(12+5sqrt3)/26

Related questions
See all questions in Basic Inverse Trigonometric Functions
Impact of this question
1801 views around the world
You can reuse this answer
Creative Commons License