prove sin(-x)=-sin(x)

Solution

prove

sin (- x) = - sin (x)

True

Solution steps

sin (- x) = - sin (x)

Manipulating left side

sin (- x)

Use the negative angle identity:

sin (- x) = - sin (x)

= - sin (x)

We showed that the two sides could take the same form

\Rightarrow True

p ro v e sin (x + π) = - sin (x)

p ro v e \frac{cos ( 2 X )}{sin ( X )} + \frac{sin ( 2 X )}{cos ( X )} = csc (X)

p ro v e tan^{5} (x) = tan^{3} (x) sec^{2} (x) - tan^{3} (x)

p ro v e \frac{cos ( θ )}{1 - sin ( θ )} = sec (θ) + tan (θ)

p ro v e tan (x) + cot (x) = 2 csc (2 x)