This class 10 Maths additional practice question is from the topic Trigonometry. Concept Tested: Trigonometric values of basic angles.

Question 10 : Find the value of θ in each of the following. θ is an acute angle.

(i) 3 sec 2θ = 2√3

(ii) 4 cot 3θ - 4 = 0

(iii) 2 sin 2θ = 1

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sec 2θ = \\frac{2\sqrt{3}}{3})= \\frac{2}{\sqrt{3}})

We know sec 30° = \\frac{2}{\sqrt{3}})

sec 2θ = sec 30°

2θ = 30° or θ = 15°

4 cot 3θ = 4

cot 3θ = 1

We know cot 45° = 1

∴ cot 3θ = cot 45°

So, 3θ = 45° or θ = 15°

sin 2θ =\\frac{1}{2})

We know sin 30° = \\frac{1}{2})

∴ sin 2θ = sin 30°

So, 2θ = 30° or θ = 15°

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CBSE Class 10 Maths - 2021

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