Is sin(x)+(cos^2(x))/(sin(x))=sec(x) ?

The answer to whether sin(x)+(cos^2(x))/(sin(x))=sec(x) is False

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prove sin(x)+(cos^2(x))/(sin(x))=sec(x)

prove

sin (x) + \frac{cos ^{2} ( x )}{sin ( x )} = sec (x)

False

Solution steps

sin (x) + \frac{cos ^{2} ( x )}{sin ( x )} = sec (x)

Show that the two sides are not equal

For

sin (x) + \frac{cos ^{2} ( x )}{sin ( x )} = sec (x)

plug in

x = 1

sin (1) + \frac{cos ^{2} ( 1 )}{sin ( 1 )} = 1.18839 \dots

sin (1) + \frac{cos ^{2} ( 1 )}{sin ( 1 )}

Refine to a decimal form

= 1.18839 \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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Is sin(x)+(cos^2(x))/(sin(x))=sec(x) ?
The answer to whether sin(x)+(cos^2(x))/(sin(x))=sec(x) is False