What is cos(arcsin(513)arccos(725))?

2 Answers

204325

Explanation:

cos(sin1(513)cos1(725))

=cos(sin1(513))cos(cos1(725))+sin(sin1(513))sin(cos1(725))

=cos(cos1(1213))(725)+(513)sin(sin1(2425))

=(1213)(725)+(513)(2425)

=84+1201325

=204325

Jul 28, 2018

The answer is =218325

Explanation:

Let θ1=arcsin(513)

Then,

sinθ1=513

And

cosθ1=1sin2θ1

=125169

=144169

=1413

Let θ2=arccos(725)

cosθ2=725

sinθ2=1cos2θ2

=149625

=576625

=2425

Therefore,

cos(arcsin(513)arccos(725))

=cos(θ1θ2)

=cosθ1cosθ2+sinθ1sinθ2

=1413725+5132425

=218325