Trigonometrymedium · Past Paper
The value of (1 + tan²θ) / (1 + cot²θ) is:
Atan²θ
Bcot²θ
Csin²θ
Dcos²θ
✓ Correct Answer: A — tan²θ
(sec²θ) / (cosec²θ) = (1/cos²θ) / (1/sin²θ) = sin²θ / cos²θ = tan²θ.
Share this question
More from Trigonometry
- Two people are on opposite sides of a tower 100 m high. Elevation is 30 and 60. Distance between them?
- Calculate: sin 45 * cos 45 - sin 30 * cos 30
- If sin θ = cos θ, find θ in the range 0 to 90 degrees.
- If the shadow of a tree is √3 times its height, what is the angle of elevation?
- An observer 1.5 m tall is 20.5 m away from a tower 22 m high. What is the angle of elevation?