Is tan(x)+(cos(x))/(1-sin(x))=sec(x) ?

The answer to whether tan(x)+(cos(x))/(1-sin(x))=sec(x) is False

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prove tan(x)+(cos(x))/(1-sin(x))=sec(x)

prove

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

False

Solution steps

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

Show that the two sides are not equal

For

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

plug in

x = 1

tan (1) + \frac{cos ( 1 )}{1 - sin ( 1 )} = 4.96563 \dots

tan (1) + \frac{cos ( 1 )}{1 - sin ( 1 )}

Refine to a decimal form

= 4.96563 \dots

sec (1) = 1.85081 \dots

sec (1)

Refine to a decimal form

= 1.85081 \dots

The two sides are not equal

\Rightarrow False

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cot (\frac{15 π}{8}) = cot (\frac{7 π}{8})

7 - sin (x) = 1 - \frac{cos ^{2} ( x )}{1 - sin ( x )}

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

sin^{4} (x) = (sin^{2} (x))^{2}

Is tan(x)+(cos(x))/(1-sin(x))=sec(x) ?
The answer to whether tan(x)+(cos(x))/(1-sin(x))=sec(x) is False