Question

What is the exact value of sin795

Answer 1

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 ...

  $\sin{(795^{\circ})}=\dfrac{\sqrt{3}+1}{2\sqrt{2}}\cdot\dfrac{\sqrt{2}}{\sqrt{2}}=\dfrac{\sqrt{6}+\sqrt{2}}{4}$