What is the value of (sec(30))(cos(30))-(tan(60))(cot(60)) ?

The value of (sec(30))(cos(30))-(tan(60))(cot(60)) is 0

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(sec(30))(cos(30))-(tan(60))(cot(60))

(sec (3 0^{\circ})) (cos (3 0^{\circ})) - (tan (6 0^{\circ})) (cot (6 0^{\circ}))

0

Solution steps

(sec (3 0^{\circ})) (cos (3 0^{\circ})) - (tan (6 0^{\circ})) (cot (6 0^{\circ}))

= sec (3 0^{\circ}) cos (3 0^{\circ}) - tan (6 0^{\circ}) cot (6 0^{\circ})

Use the following trivial identity:

sec (3 0^{\circ}) = \frac{2 3}{3}

Use the following trivial identity:

cos (3 0^{\circ}) = \frac{3}{2}

Use the following trivial identity:

tan (6 0^{\circ}) = 3

Use the following trivial identity:

cot (6 0^{\circ}) = \frac{3}{3}

= \frac{2 3}{3} \cdot \frac{3}{2} - 3 \frac{3}{3}

Simplify

\frac{2 3}{3} \cdot \frac{3}{2} - 3 \frac{3}{3} : 0

= 0

3 \cdot sin (\frac{π}{2})

14 sin^{2} (2 π)

sec (3 0^{\circ}) cos (3 0^{\circ}) + sin (4 5^{\circ}) csc (4 5^{\circ}) - cot (3 0^{\circ})

sin (0) \cdot cos (0)

28 cos (3 0^{\circ})

What is the value of (sec(30))(cos(30))-(tan(60))(cot(60)) ?
The value of (sec(30))(cos(30))-(tan(60))(cot(60)) is 0