SOLUTION: having some problems knowing what fits where please help a)solve the following trigonometric equation for 0 degrees x 360 (there are arrows and are underlined pointing to the le

Question 494611: having some problems knowing what fits where please help
a)solve the following trigonometric equation for 0 degrees x 360 (there are arrows and are underlined pointing to the left hand side one after degrees and another after the x)
sin x-2 sin^2 x=0
b)prove the following trigonometric identity
sin x+sin x cot^2x=csc x
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
a)solve the following trigonometric equation for 0 degrees x 360 (there are arrows and are underlined pointing to the left hand side one after degrees and another after the x)
sin(x) - 2 sin^2 (x) = 0
Factor:
sin(x)[1 - 2sin(x)] = 0
---
sin(x) = 0 or sin(x) = 1/2
---
x = 0, or 180 OR x = 30 or 150 degrees
==============================================
b)prove the following trigonometric identity
sin(x) + sin(x)* cot^2(x) = csc(x)
---
sin(x)[1 + cot^2(x)] = csc(x)
---
sin(x)[csc^2(x)] = csc(x)
---
sin(x)*1/sin^2(x) = csc(x)
---
1/sin(x) = csc(x)
----
csc(x) = csc(x)
=======================
Cheers,
stan H.
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