Is 3sec^2(330)tan(330)=4tan(330) ?

The answer to whether 3sec^2(330)tan(330)=4tan(330) is True

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prove 3sec^2(330)tan(330)=4tan(330)

prove

3 sec^{2} (33 0^{\circ}) tan (33 0^{\circ}) = 4 tan (33 0^{\circ})

True

Solution steps

3 sec^{2} (33 0^{\circ}) tan (33 0^{\circ}) = 4 tan (33 0^{\circ})

Manipulating left side

3 sec^{2} (33 0^{\circ}) tan (33 0^{\circ})

Simplify

3 sec^{2} (33 0^{\circ}) tan (33 0^{\circ}) : - \frac{4 3}{3}

= - \frac{4 3}{3}

Manipulating right side

4 tan (33 0^{\circ})

Simplify

4 tan (33 0^{\circ}) : - \frac{4 3}{3}

= - \frac{4 3}{3}

We showed that the two sides could take the same form

\Rightarrow True

(sin (x)) (cot (x)) = (cos (x))

- 2 sin (x) cos (x) = - sin (2 x)

cos^{2} (θ) cot^{2} (θ) = cot^{2} (θ) - cos^{2} (θ)

csc^{2} (θ) (1 - cos^{2} (θ)) = - cos (\frac{π}{2})

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

Is 3sec^2(330)tan(330)=4tan(330) ?
The answer to whether 3sec^2(330)tan(330)=4tan(330) is True