What is the value of cos(-45)*cot(-150) ?

The value of cos(-45)*cot(-150) is sqrt(3/2)

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cos(-45)*cot(-150)

cos (- 4 5^{\circ}) \cdot cot (- 15 0^{\circ})

\frac{3}{2}

Solution steps

cos (- 4 5^{\circ}) cot (- 15 0^{\circ})

Use the following property:

cot (- x) = - cot (x)

cot (- 15 0^{\circ}) = - cot (15 0^{\circ})

= cos (- 4 5^{\circ}) (- cot (15 0^{\circ}))

Use the following property:

cos (- x) = cos (x)

cos (- 4 5^{\circ}) = cos (4 5^{\circ})

= cos (4 5^{\circ}) (- cot (15 0^{\circ}))

Simplify

= - cos (4 5^{\circ}) cot (15 0^{\circ})

Use the following trivial identity:

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

Use the following trivial identity:

cot (15 0^{\circ}) = - 3

= - \frac{2}{2} (- 3)

Simplify

- \frac{2}{2} (- 3) : \frac{3}{2}

= \frac{3}{2}

602 cos (4 5^{\circ})

arctan (0.0834)

tan (35 0^{\circ})

sin^{2} (1 2^{\circ})

arctan (tan (3))

What is the value of cos(-45)*cot(-150) ?
The value of cos(-45)*cot(-150) is sqrt(3/2)