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

The answer to whether (sin(x))/(-cos(x))=sin(x)+tan(x) is False

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

prove

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

False

Solution steps

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

Show that the two sides are not equal

For

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

plug in

x = 1

\frac{sin ( 1 )}{- cos ( 1 )} = - 1.55740 \dots

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

Refine to a decimal form

= - 1.55740 \dots

sin (1) + tan (1) = 2.39887 \dots

sin (1) + tan (1)

Refine to a decimal form

= 2.39887 \dots

The two sides are not equal

\Rightarrow False

(cot (X) - csc (X)) (cot (X) + csc (X)) = - 1

cos (4 x) = cos (3 x + x)

cot (θ) \cdot sec (θ) \cdot sin (θ) = 1

\frac{1}{sec ^{2} ( t )} = (1 + sin (t)) (1 - sin (t))

cos (2 0^{\circ}) = cos (θ) cos (θ) - sin (θ) sin (θ)

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