What is sin(x-90)sin(x) ?

The solution to sin(x-90)sin(x) is -cos(x)sin(x)

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simplify sin(x-90)sin(x)

simplify

sin (x - 9 0^{\circ}) sin (x)

- cos (x) sin (x)

Solution steps

sin (x - 9 0^{\circ}) sin (x)

Rewrite using trig identities

= (- cos (x)) sin (x)

Remove parentheses:

(- a) = - a

= - cos (x) sin (x)

sin (150 π + x)

cos (1.18445 + 2 πk)

sin (arctan (u) + cos^{- 1 v} (v))

tan (\frac{π}{4} + c)

sin (π + p)