What is the value of 1+cos(150) ?

The value of 1+cos(150) is 1-(sqrt(3))/2

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1+cos(150)

1 + cos (15 0^{\circ})

1 - \frac{3}{2}

Decimal Notation

0.13397 \dots

Solution steps

1 + cos (15 0^{\circ})

Use the following trivial identity:

cos (15 0^{\circ}) = - \frac{3}{2}

cos (15 0^{\circ})

cos (x)

periodicity table with

36 0^{\circ} n

cycle:

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} x 18 0^{\circ} 21 0^{\circ} 22 5^{\circ} 24 0^{\circ} 27 0^{\circ} 30 0^{\circ} 31 5^{\circ} 33 0^{\circ} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

= - \frac{3}{2}

= 1 - \frac{3}{2}

(280)^{2} + (190)^{2} - 2 (280) (190) cos (8 0^{\circ})

\frac{20 tan ( 12 0 ^{\circ} )}{24 cot ( 15 0 ^{\circ} )}

sin (\frac{π}{4}) - 4 cos (\frac{π}{3})

tan (- 66 0^{\circ})

30 \cdot csc (4 5^{\circ})