Is cos(x)=1=cos(0)=1 ?

The answer to whether cos(x)=1=cos(0)=1 is False

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prove cos(x)=1=cos(0)=1

prove

cos (x) = 1 = cos (0) = 1

False

Solution steps

cos (x) = 1

Show that the two sides are not equal

For

cos (x) = 1

plug in

x = 1

cos (1) = 0.54030 \dots

cos (1)

Refine to a decimal form

= 0.54030 \dots

The two sides are not equal

\Rightarrow False

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

\frac{1}{csc ( x ) + 1} = \frac{1}{sin ( x ) + 1}

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

(1 + tan^{2} (α)) cos^{2} (α) = 1

\frac{1}{sin ^{2} ( x )} = \frac{1}{csc ^{2} ( x )}