Is tan(θ)+1=sec(θ) ?

The answer to whether tan(θ)+1=sec(θ) is False

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prove tan(θ)+1=sec(θ)

prove

tan (θ) + 1 = sec (θ)

False

Solution steps

tan (θ) + 1 = sec (θ)

Show that the two sides are not equal

For

tan (θ) + 1 = sec (θ)

plug in

θ = 1

tan (1) + 1 = 2.55740 \dots

tan (1) + 1

Refine to a decimal form

= 2.55740 \dots

sec (1) = 1.85081 \dots

sec (1)

Refine to a decimal form

= 1.85081 \dots

The two sides are not equal

\Rightarrow False

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

cos (θ) - cos^{3} (θ) = sin^{2} (θ) cos (θ)

\frac{cos ( 4 x ) + 1}{sin ( 4 x )} = cot (2 x)

2 sin (θ) cos (θ) = tan (2 θ) cos (2 θ)

cos (θ) sec (θ) - cos^{2} (θ) = sin^{2} (θ)