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Popular >

sin(90+45)

Solution

sin (9 0^{\circ} + 4 5^{\circ})

Solution

\frac{2}{2}

+1

Decimal Notation

0.70710 \dots

Solution steps

sin (9 0^{\circ} + 4 5^{\circ})

Simplify

= sin (13 5^{\circ})

Use the following trivial identity:

sin (13 5^{\circ}) = \frac{2}{2}

sin (13 5^{\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{2}{2}

= \frac{2}{2}

Popular Examples

csc (1 6^{\circ})

[7(cos(200)+isin(200))]3

[7 (cos (20 0^{\circ}) + i sin (20 0^{\circ}))] 3

sin(arcsin(8/17)+arccos(-5/13))

sin (arcsin (\frac{8}{17}) + arccos (- \frac{5}{13}))

arctan (\frac{4}{15})

arccos(0.90096)

arccos (0.90096)

Frequently Asked Questions (FAQ)

What is the value of sin(90+45) ?
The value of sin(90+45) is (sqrt(2))/2