Is tan((3pi)/2-x)=-tan(x) ?

The answer to whether tan((3pi)/2-x)=-tan(x) is False

prove tan((3pi)/2-x)=-tan(x)

prove

tan (\frac{3 π}{2} - x) = - tan (x)

False

Solution steps

tan (\frac{3 π}{2} - x) = - tan (x)

Show that the two sides are not equal

For

tan (\frac{3 π}{2} - x) = - tan (x)

plug in

x = 1

tan (\frac{3 π}{2} - 1) = 0.64209 \dots

tan (\frac{3 π}{2} - 1)

Refine to a decimal form

= 0.64209 \dots

- tan (1) = - 1.55740 \dots

- tan (1)

Refine to a decimal form

= - 1.55740 \dots

The two sides are not equal

\Rightarrow False

p ro v e - 3 (0) cos (3 t) + 3 (1) sin (3 t) = 3 sin (3 t)

p ro v e (1 + cos (x)) (1 - cos (- x)) = sin^{2} (x)

p ro v e 1 + sin (2 θ) = (sin (θ) + cos (θ)) 2

p ro v e tan^{2} (x) - tan (x) + 1 = sec^{2} (x) - tan (x)

p ro v e 2 \cdot cos (x) \cdot sin (x) = sin (2 x)

Is tan((3pi)/2-x)=-tan(x) ?
The answer to whether tan((3pi)/2-x)=-tan(x) is False