This class 10 Maths additional Practice Question is from the chapter Introduction to Trigonometry. It tests the concept of trigonometric ratios, squares of trigonometric ratios, and trigonometric values of specific angles.

Question 11 : Solve the following: 0° < θ < 90°

(i) 2 sin^{2} θ = \\frac{3}{2})

(ii) 3 tan^{2} θ + 2 = 3

(iii) cos^{2} θ - \\frac{1}{4})= \\frac{1}{2})

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sin^{2} θ = \\frac{3}{4})

sin θ = \\frac{√3}{2})

We know sin 60° = \\frac{√3}{2})

∴ sin θ = sin 60° or θ = 60°

3 tan^{2} θ = 1

tan^{2} θ = \\frac{1}{3}) or tan θ = \\frac{1}{√3})

We know tan 30° = \\frac{1}{√3})

∴ tanθ = tan 30° or θ = 30°

cos^{2} θ = \\frac{1}{2}) + \\frac{1}{4}) =\\frac{3}{4})

cosθ =\\frac{√3}{2})

We know cos 30° = \\frac{√3}{2})

∴ cosθ = cos 30° or θ = 30°

Class 10 Maths

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CBSE Class 10 Maths - 2021

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1. Trigonometric Ratios | CBSE Class 10 Extra Practice Question #01 | Easy Question ** Questions 1 ** ▶

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9. Trigonometric values | CBSE 10th Extra Practice Question #09 | Easy Question ** Question 9** ▶

10. Trigonometric values | CBSE 10th Extra Practice Question #10 | Easy Question ** Question 10** ▶

11. Square of Trigonometric Ratios | CBSE Class 10 Extra Question #11 | Easy Question ** Question 11** ▶

12. Trigonometric values | CBSE 10th Extra Practice Question #12 | Easy questions ** Question 12** ▶

13. Trigonometric Values of Basic Angles | CBSE 10th Extra Question #13 | Easy question ** Question 13** ▶

14. Trigonometric Ratios of Specific Values | CBSE Class 10 Important Question #14 | Hard Question ** Question 14** ▶

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