prove (sin^2(x))/(cos(x))=tan(x)sin(x)

الحلّ

prove

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

صحيح

خطوات الحلّ

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

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

:Use the basic trigonometric identity

\Rightarrow صحيح

cos^{2} (θ) (sec^{2} (θ) - 1) = sin^{2} (θ)

cot^{2} (y) sec^{2} (y) = 1 + cot^{2} (y)

csc (θ) - cot (θ) \cdot cos (θ) = sin (θ)

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

cot (x) + tan (x) = \frac{sec ^{2} ( x )}{tan ( x )}