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Popular >

(sin(30))^2

Solution

(sin (3 0^{\circ}))^{2}

Solution

\frac{1}{4}

+1

Decimal Notation

0.25

Solution steps

(sin (3 0^{\circ}))^{2}

= sin^{2} (3 0^{\circ})

Use the following trivial identity:

sin (3 0^{\circ}) = \frac{1}{2}

sin (3 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

1-2sin^2(pi/(12))

1 - 2 sin^{2} (\frac{π}{12})

cos (3 (\frac{π}{3}))

sec(pi/4)+tan(pi/4)

sec (\frac{π}{4}) + tan (\frac{π}{4})

sin(arccos(1/3))

sin (arccos (\frac{1}{3}))

arctan (1.53)

Frequently Asked Questions (FAQ)

What is the value of (sin(30))^2 ?
The value of (sin(30))^2 is 1/4