Is tan(30)=(sin(30))/(cos(30)) ?

The answer to whether tan(30)=(sin(30))/(cos(30)) is True

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prove tan(30)=(sin(30))/(cos(30))

prove

tan (3 0^{\circ}) = \frac{sin ( 3 0 ^{\circ} )}{cos ( 3 0 ^{\circ} )}

True

Solution steps

tan (3 0^{\circ}) = \frac{sin ( 3 0 ^{\circ} )}{cos ( 3 0 ^{\circ} )}

Use the basic trigonometric identity:

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

\Rightarrow True

\frac{1}{cos ( x ) sin ( x )} = csc (x) sec (x)

tan (2 x) - sin (2 x) = tan (2 x) sin (2 x)

tan^{2} (x) + sec^{2} (x) = 1

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

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

Is tan(30)=(sin(30))/(cos(30)) ?
The answer to whether tan(30)=(sin(30))/(cos(30)) is True