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Popular >

1/(1+sin(pi/2))

Solution

\frac{1}{1 + sin ( \frac{π}{2} )}

Solution

\frac{1}{2}

+1

Decimal Notation

0.5

Solution steps

\frac{1}{1 + 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

= \frac{1}{1 + 1}

Simplify

= \frac{1}{2}

Popular Examples

1/2 (25)(12)sin(70)

\frac{1}{2} (25) (12) sin (7 0^{\circ})

30 \cdot sin (7 5^{\circ})

25 \cdot sin (2 5^{\circ})

sin((2pi)/5)cos((2pi)/5)

sin (\frac{2 π}{5}) cos (\frac{2 π}{5})

30 sin (2 1^{\circ})

Frequently Asked Questions (FAQ)

What is the value of 1/(1+sin(pi/2)) ?
The value of 1/(1+sin(pi/2)) is 1/2