Is tan(-θ)=tan(θ) ?

The answer to whether tan(-θ)=tan(θ) is False

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prove tan(-θ)=tan(θ)

prove

tan (- θ) = tan (θ)

False

Solution steps

tan (- θ) = tan (θ)

Show that the two sides are not equal

For

tan (- θ) = tan (θ)

plug in

θ = 1

tan (- 1) = - tan (1) (Decimal : - 1.55740 \dots)

tan (- 1)

Use the following property:

tan (- x) = - tan (x)

tan (- 1) = - tan (1)

= - tan (1)

tan (1) = 1.55740 \dots

tan (1)

Refine to a decimal form

= 1.55740 \dots

The two sides are not equal

\Rightarrow False

sec (x^{2}) + csc^{2} (x) = sec^{2} (x) csc^{2} (x)

\frac{( 1 - cos ( a ) )}{1 + cos ( a )} = tan^{2} (\frac{a}{2})

cos (x - y) = cos (y - x)

tan^{2} (a) = \frac{sin ^{2} ( a )}{1 - sin ^{2} ( a )}

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