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Popular >

sin^2(150)

Solution

sin^{2} (15 0^{\circ})

Solution

\frac{1}{4}

+1

Decimal Notation

0.25

Solution steps

sin^{2} (15 0^{\circ})

Use the following trivial identity:

sin (15 0^{\circ}) = \frac{1}{2}

sin (15 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}

= \frac{1}{2}

= (\frac{1}{2})^{2}

Simplify

(\frac{1}{2})^{2} : \frac{1}{4}

(\frac{1}{2})^{2}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{1 ^{2}}{2 ^{2}}

Apply rule

1^{a} = 1

1^{2} = 1

= \frac{1}{2 ^{2}}

2^{2} = 4

= \frac{1}{4}

= \frac{1}{4}

Popular Examples

arctan(tan((11pi)/9))

arctan (tan (\frac{11 π}{9}))

- 2 sin (\frac{3 π}{2})

sin (5)

-4cos(pi/3)(1+ln(7sin(pi/3)))

- 4 cos (\frac{π}{3}) (1 + ln (7 sin (\frac{π}{3})))

(tan(40)+tan(20))/(1-tan(40)tan(20))

\frac{tan ( 4 0 ^{\circ} ) + tan ( 2 0 ^{\circ} )}{1 - tan ( 4 0 ^{\circ} ) tan ( 2 0 ^{\circ} )}

Frequently Asked Questions (FAQ)

What is the value of sin^2(150) ?
The value of sin^2(150) is 1/4