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Popular >

sin(90-pi)

Solution

sin (9 0^{\circ} - π)

Solution

- 1

Solution steps

sin (9 0^{\circ} - 18 0^{\circ})

Simplify

= sin (- 9 0^{\circ})

Use the following property:

sin (- x) = - sin (x)

sin (- 9 0^{\circ}) = - sin (9 0^{\circ})

= - sin (9 0^{\circ})

Use the following trivial identity:

sin (9 0^{\circ}) = 1

sin (9 0^{\circ})

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

= 1

= - 1

Popular Examples

2 + sin (\frac{3 π}{8})

tan (\frac{2}{3} π)

arccos(1/(sqrt(66)))

arccos (\frac{1}{66})

arccos(cos((8pi)/9))

arccos (cos (\frac{8 π}{9}))

cos (\frac{64}{65})

Frequently Asked Questions (FAQ)

What is the value of sin(90-pi) ?
The value of sin(90-pi) is -1