What does $2sin(arccot(5))-3sin(arc csc(2))$ equal?

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Answer 1 · 2016-04-01T17:07:33

$2/sqrt26-3/2$

sin arcsin k =k.

If $cot a = x/y, sin a = y/sqrt(x^2+y^2)$ .

So, $arc cot (5/1)=arc sin (1/sqrt26)$

If $csc c = d, sin c = 1/d$ .

Here x = 5, y = 1, d = 2.
The given expression is
$2 sin arcsin (1/sqrt26)-3 sin arcsin (1/2)$
= $2(1/sqrt26)-3(1/2)$

What does 2sin(arccot(5))-3sin(arc csc(2))2sin(arccot(5))-3sin(arc csc(2)) equal?