It is given that $$\(3 \sin 2 \theta=\cos \theta\)$$ where $$\(\theta\)$$ is an angle such that $$\(0^{\circ}<\theta<90^{\circ}\)$$. Find the exact value of $$\(\sec \theta\)$$. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

Mathematics
IGCSE&ALevel
CAIE
Exam No:9709_w20_qp_21 Year:2020 Question No:6(b)

Answer:

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

Knowledge points:

2.3.1 understand the relationship of the secant, cosecant and cotangent functions to cosine, sine and tangent, and use properties and graphs of all six trigonometric functions for angles of any magnitude

Solution:

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