prove sin(-1)=-sin(1)

Solution

prove

sin (- 1) = - sin (1)

True

Solution steps

sin (- 1) = - sin (1)

Manipulating left side

sin (- 1)

Use the negative angle identity:

sin (- x) = - sin (x)

= - sin (1)

We showed that the two sides could take the same form

\Rightarrow True

tan (x) cot (x) = sin^{2} (x) + cos^{2} (x)

\frac{( csc ^{2} ( x ) )}{1 + tan ^{2} ( x )} = cot^{2} (x)

7 \frac{cot ^{2} ( x )}{csc ( x )} sec^{2} (x) = 7 tan (x) cos (x) csc^{2} (x)

cos^{2} (x) = 1 + sin^{2} (x)

\frac{( cot ^{2} ( x ) )}{1 + csc ( x )} = csc (x) - 1