Trigonometryhard · Past Paper
If sec θ + tan θ = x, then sec θ - tan θ is:
Ax
B1/x
C-x
Dx²
✓ Correct Answer: B — 1/x
Since sec²θ - tan²θ = 1, (sec-tan)(sec+tan)=1, so sec-tan = 1/(sec+tan) = 1/x.
Share this question
More from Trigonometry
- Height of two towers are h1 and h2. If elevation of top of first from foot of second is 60 and vice versa is 30, h1/h2 is:
- What is cos 45°?
- If 2 cos theta = 1, find the value of theta.
- A man 1.5 m tall is 28.5 m away from a tower 30 m high. What is the angle of elevation of the top of the tower from his eye?
- If tan θ = 1, find the value of (sin θ + cos θ).