CAIE A-Level Mathematics AS 2.3.1 Reciprocal Trig Functions Questions

Practise converting sec, cosec and cot to cosine, sine and tangent, applying reciprocal identities and selecting all valid solutions over positive or negative angle ranges.

Exam points

use vector notation and operations
solve geometric problems with vectors
interpret vector relationships

[Maximum number: 2]

It is given that $3 \sin 2 \theta=\cos \theta$ where $\theta$ is an angle such that $0^{\circ}<\theta<90^{\circ}$ .

Find the exact value of $\sec \theta$ .

Use correct identity or identities to find value of $\sec \theta$
Obtain $\frac{6}{\sqrt{35}}$ or exact equivalent

All question bank results loaded

CAIE A-Level Mathematics AS 2.3.1 Reciprocal Trig Functions Questions question 1