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

The answer to whether sin(x)tan(x)+cos(x)= 1/(cos(x)) is True

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

prove

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

True

Solution steps

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

Manipulating left side

sin (x) tan (x) + cos (x)

Express with sin, cos

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

Rewrite using trig identities

= \frac{1}{cos ( x )}

We showed that the two sides could take the same form

\Rightarrow True

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

cos (4 θ) = 8 cos^{4} (θ) - 8 cos^{2} (θ) + 1

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

sin (2 A) = 2 sin (A) cos (A)

tan (A - B) = sin (A - B) sec (A - B)

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