If and , what is the value of…

MATHEMATICS · Single correct · A Level · Mathematics · Trigonometry · Trigonometry

Problem

If tan⁡2θ=3\tan^2 \theta = 3 and 0∘<θ<90∘0^{\circ} < \theta < 90^{\circ}, what is the value of sec⁡2θ\sec^2 \theta? (a) 1+31+\sqrt{3} (b) 44 (c) 3\sqrt{3} (d) 33

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