If sin α = −3/5, where π < α < 3π/2, then the value of cos α/2 is:2
2. If sin A = 2/3 and cos A < 0, find the value of tan 2A.
A car is running on a circular path of radius equal to double the arc of the circle travelled by the car. The angle subtended by the car on the centre of the path is:
If sin θ = 1/3 and −π/4 ≤ θ ≤ π/4, then cos(2θ) =
A sector cut from a circle of radius 3 cm has a perimeter of 12 cm. The area of this sector is:
If x is an angle in the third quadrant and tan(x − 30°) = cot x, find x.
If sin x = tan x, then |2 cosx| equals
If sec θ = −5/4 and sin θ > 0, then tan θ =
Solve for x: Arc cos(2x² − 2x) = 2π/3
tan 135° + cot 315° equals:
If (1 − cos θ)/sin θ = √3/3, then θ =
cos π − sin 570° − cot 0° × sec(−π/2) + sec 0° equals:
The measures of the angles of a triangle are in the ratio 2 : 7 : 11. The measures of the angles are:
If θ is an acute angle and 4sin θ + 3cos θ = 5, then the value of θ is:
If the ratio of sec x to cosec x is 1 : 4, then the ratio of tan x to cot x is:
The area of a circle is 49π. Find its circumference in terms of π.
The 3600th part of a degree is called:
The ratio between the area of the sector to the length of the arc of a circle is