Question
A giant circular wheel has a diameter of 14 metres. In
how many revolutions will the wheel cover a total of 16.5 km?Solution
Radius of the giant wheel = 14 ÷ 2 = 7 metres Circumference of the giant wheel = 2 × π × radius = 2 × (22/7) × 7 = 44 metres So, number of rotations to cover 16.5 km i.e. 16500 metres = 16500 ÷ 44 = 375
- Simplify the following trigonometric expression:
15 cos 27° sec 63° − 9 cot 61° tan 29° If √3 tan 2θ – 3 = 0, then find the value of tanθ secθ – cosθ where 0 < θ < 90°
If (cos A - sin A) = √2 cos (90° - A), then find the value of cot A.


If tan 3.5θ x tan 6.5θ = 1 then the value of tan 5θ is
Find the maximum value of 14 sin A + 24 cos A.

- If cos θ = (4x² – 1)/(1 + 4x²) then find the value of sin q.
The minimum value of 9 cos2 θ + 36 sec2 θ isÂ