Question

What is the exact value of sin795

Answer 1

sin(795°) = (√6+√2)/4

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))}=(√(3)+1)/(2√(2))\cdot(√(2))/(√(2))=(√(6)+√(2))/(4)`