Is csc^2(A)=1+tan^2(A) ?

The answer to whether csc^2(A)=1+tan^2(A) is False

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prove csc^2(A)=1+tan^2(A)

prove

csc^{2} (A) = 1 + tan^{2} (A)

False

Solution steps

csc^{2} (A) = 1 + tan^{2} (A)

Show that the two sides are not equal

For

csc^{2} (A) = 1 + tan^{2} (A)

plug in

A = 1

csc^{2} (1) = 1.41228 \dots

csc^{2} (1)

Refine to a decimal form

= 1.41228 \dots

1 + tan^{2} (1) = 3.42551 \dots

1 + tan^{2} (1)

Refine to a decimal form

= 3.42551 \dots

The two sides are not equal

\Rightarrow False

3 tan^{2} (x) = 3 (tan (x))^{2}

3 cos (θ) = 3 sin (- θ)

csc^{2} (θ) \cdot tan^{2} (θ) - 1 = tan^{2} (θ)

tan (a) + sec (a) = \frac{1 + sin ( a )}{cos ( a )}

\frac{sin ( 3 a )}{sin ( a )} = 2 cos (2 a) + 1