Is cos^2(x)+sin(x)cos(x)tan(x)=1 ?

The answer to whether cos^2(x)+sin(x)cos(x)tan(x)=1 is True

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prove cos^2(x)+sin(x)cos(x)tan(x)=1

prove

cos^{2} (x) + sin (x) cos (x) tan (x) = 1

True

Solution steps

cos^{2} (x) + sin (x) cos (x) tan (x) = 1

Manipulating left side

cos^{2} (x) + sin (x) cos (x) tan (x)

Express with sin, cos

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

Rewrite using trig identities

= 1

We showed that the two sides could take the same form

\Rightarrow True

sin (y) csc (y) = 1

(cos (θ))^{2} = cos^{2} (θ)

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

sin (\frac{x}{2}) = \frac{sin ( x )}{2}

tan (a) + cot (a) = csc (a) sec (a)

Is cos^2(x)+sin(x)cos(x)tan(x)=1 ?
The answer to whether cos^2(x)+sin(x)cos(x)tan(x)=1 is True