kingmonokuma kingmonokuma
  • 17-02-2017
  • Mathematics
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what is the exact value of sin795

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sqdancefan
sqdancefan sqdancefan
  • 26-01-2020

Answer:

  sin(795°) = (√6+√2)/4

Step-by-step explanation:

The angle 795° is 2×360° +75°, so is coterminal with the angle 75°. This means we can compute the sine of the angle using the angle sum formula (see below).

When we rationalize the denominator of the result, we get ...

  [tex]\sin{(795^{\circ})}=\dfrac{\sqrt{3}+1}{2\sqrt{2}}\cdot\dfrac{\sqrt{2}}{\sqrt{2}}=\dfrac{\sqrt{6}+\sqrt{2}}{4}[/tex]

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