Is 1+sin(θ)=cos(θ) ?

The answer to whether 1+sin(θ)=cos(θ) is False

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prove 1+sin(θ)=cos(θ)

prove

1 + sin (θ) = cos (θ)

False

Solution steps

1 + sin (θ) = cos (θ)

Show that the two sides are not equal

For

1 + sin (θ) = cos (θ)

plug in

θ = 1

1 + sin (1) = 1.84147 \dots

1 + sin (1)

Refine to a decimal form

= 1.84147 \dots

cos (1) = 0.54030 \dots

cos (1)

Refine to a decimal form

= 0.54030 \dots

The two sides are not equal

\Rightarrow False

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

\frac{sin ( 4 x )}{4} = \frac{sin ( x ) cos ( x )}{4}

csc^{2} (x) \cdot cos^{2} (x) = cot^{2} (x)

\frac{1}{sec ^{3} ( x ) cos ^{4} ( x )} = sec (x)

csc^{2} (θ) + 1 = cot^{2} (θ)