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Popular Trigonometry >

2sin(0+pi/2)

Solution

2 sin (0 + \frac{π}{2})

Solution

2

Solution steps

2 sin (0 + \frac{π}{2})

Rewrite using trig identities:

sin (0 + \frac{π}{2}) = 1

sin (0 + \frac{π}{2})

Simplify

= sin (\frac{π}{2})

Use the following trivial identity:

sin (\frac{π}{2}) = 1

sin (\frac{π}{2})

sin (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} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{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} sin (x) 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2}

= 1

= 1

= 2 \cdot 1

Simplify

= 2

Popular Examples

-cos(0)+(2cos^3(0))/3-(cos^5(0))/5

sin(pi/6)+pi/6 cos(pi/6)

arccos((1.6)/(3.04682))

Frequently Asked Questions (FAQ)

What is the value of 2sin(0+pi/2) ?
The value of 2sin(0+pi/2) is 2