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

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

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

prove

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

True

Solution steps

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

Manipulating left side

sec (a) + tan (a)

Express with sin, cos

= \frac{1 + sin ( a )}{cos ( a )}

Rewrite using trig identities

= \frac{cos ( a )}{1 - sin ( a )}

We showed that the two sides could take the same form

\Rightarrow True

cos (x - \frac{π}{6}) - sin (x + \frac{π}{3}) = 0

cot^{2} (α) + 1 = \frac{1}{sin ^{2} ( α )}

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

\frac{cot ( x ) + tan ( x )}{sec ( x )} = csc (x)

\frac{cos ( 3 x ) - cos ( 5 x )}{sin ( 3 x ) + sin ( 5 x )} = tan (x)

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