What is the value of csc(30)*tan(45)-cot(60)*sec(30) ?

The value of csc(30)*tan(45)-cot(60)*sec(30) is 4/3

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csc(30)tan(45)-cot(60)sec(30)

csc (3 0^{\circ}) \cdot tan (4 5^{\circ}) - cot (6 0^{\circ}) \cdot sec (3 0^{\circ})

\frac{4}{3}

Solution steps

csc (3 0^{\circ}) tan (4 5^{\circ}) - cot (6 0^{\circ}) sec (3 0^{\circ})

Use the following trivial identity:

csc (3 0^{\circ}) = 2

Use the following trivial identity:

tan (4 5^{\circ}) = 1

Use the following trivial identity:

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

Use the following trivial identity:

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

= 2 \cdot 1 - \frac{3}{3} \cdot \frac{2 3}{3}

Simplify

2 \cdot 1 - \frac{3}{3} \cdot \frac{2 3}{3} : \frac{4}{3}

= \frac{4}{3}

7 cos (5 3^{\circ})

40 sin (12 0^{\circ})

e^{0} \cdot cos (0)

cos^{2} (π) - 3 sin (π)

arctan (\frac{1.33}{1})

What is the value of csc(30)*tan(45)-cot(60)*sec(30) ?
The value of csc(30)*tan(45)-cot(60)*sec(30) is 4/3