Question

Show that it is an identity by transforming the side of each one into the right side.
1.-sin/csc=cos^2

Answer 1

Answer on Question #47730 – Math – Trigonometry

Show that it is an identity by transforming the side of each one into the right side.

1-sin/csc=cos^2

Solution

Use trigonometric identity $\sin^2(x) + \cos^2(x) = 1$

$$1 - \sin(x)/\csc(x) = 1 - \sin(x)/(1/\sin(x)) = 1 - \sin(x)^\ast \sin(x) = 1 - \sin^2(x) = \cos^2(x).$$

www.AssignmentExpert.com