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Popular Trigonometry >

3-3cos(pi/2)

Solution

3 - 3 cos (\frac{π}{2})

Solution

3

Solution steps

3 - 3 cos (\frac{π}{2})

Use the following trivial identity:

cos (\frac{π}{2}) = 0

cos (\frac{π}{2})

cos (x)

periodicity table with

2 πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

= 0

= 3 - 3 \cdot 0

Simplify

= 3

Popular Examples

cos(arccos(2/7))

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arctan((2sqrt(3))/(sqrt(3)))

arctan (\frac{2 3}{3})

2arcsin((sqrt(3))/2)

2 arcsin (\frac{3}{2})

arctan (\frac{40}{9})

Frequently Asked Questions (FAQ)

What is the value of 3-3cos(pi/2) ?
The value of 3-3cos(pi/2) is 3