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

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

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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

cos (2 α) = cos (α + α)

cos^{4} (x) - sin^{4} (x) = 2 tan^{2} (x) - 1

\frac{cos ( 2 x )}{cos ( x ) - sin ( x )} = 2

- 3 (0) cos (3 t) + 3 (1) sin (3 t) = 3 sin (3 t)

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

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