Trigonometrymedium · Past Paper
Value of sin(75) is:
A(sqrt(3)+1)/2
B(sqrt(3)-1)/(2*sqrt(2))
C(sqrt(3)+1)/(2*sqrt(2))
D1/2
✓ Correct Answer: C — (sqrt(3)+1)/(2*sqrt(2))
sin(45+30) = sin45cos30 + cos45sin30 = (1/sqrt2)(sqrt3/2) + (1/sqrt2)(1/2) = (sqrt3+1)/(2sqrt2).
Share this question
More from Trigonometry
- If sin θ = 0, what is θ?
- If tan theta + cot theta = 2, find tan^2 theta + cot^2 theta.
- From a point on a bridge across a river, angles of depression of the banks on opposite sides are 30° and 45°. If bridge is 3 m high, find river width.
- A vertical pole and a tower are on the same ground. The angle of elevation of the top of the tower from the top and bottom of the pole are 30° and 60° respectively. If tower is 90 m, pole height is:
- The value of (sin 30 + cos 30) - (sin 60 + cos 60) is: