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

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

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

prove

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

True

Solution steps

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

Manipulating left side

sin (x) tan (x)

Express with sin, cos

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

Rewrite using trig identities

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

Manipulating right side

sec (x) - cos (x)

Express with sin, cos

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

We showed that the two sides could take the same form

\Rightarrow True

cos (θ) = 0

arctan (- \frac{3}{3})

sec (1)

tan (31 5^{\circ})

sin (- \frac{11 π}{6})

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