Is sin(x)(tan(x))+cos(x)=sec(x) ?

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

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prove sin(x)(tan(x))+cos(x)=sec(x)

prove

sin (x) (tan (x)) + cos (x) = sec (x)

True

Solution steps

sin (x) tan (x) + cos (x) = sec (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 )}

Rewrite using trig identities

sec (x)

We showed that the two sides could take the same form

\Rightarrow True

sec (β) - cos (β) = tan (β) sin (β)

\frac{sin ( y ^{2} )}{cos ( y )} = sec (y) - cos (y)

sin^{2} (\frac{π}{4} - 2 π) = cos^{2} (\frac{π}{4} - 2 π)

sec (θ) = tan (θ) csc (θ)

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

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