What is the value of sec(30)cos(30)+sin(45)csc(45)-cot(30) ?

The value of sec(30)cos(30)+sin(45)csc(45)-cot(30) is 2-sqrt(3)

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sec(30)cos(30)+sin(45)csc(45)-cot(30)

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

2 - 3

Solution steps

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

sin (4 5^{\circ}) = \frac{2}{2}

Use the following trivial identity:

csc (4 5^{\circ}) = 2

Use the following trivial identity:

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

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

Simplify

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

= 2 - 3

sin (0) \cdot cos (0)

28 cos (3 0^{\circ})

cot (arccos (- \frac{1}{2}))

80 \cdot cos (3 0^{\circ})

cos (\frac{4 π}{3} - \frac{3 π}{4})

What is the value of sec(30)cos(30)+sin(45)csc(45)-cot(30) ?
The value of sec(30)cos(30)+sin(45)csc(45)-cot(30) is 2-sqrt(3)