If tan θ = 3 and θ lies in third quadrant, then the value of sin θ is
Strengthen your grasp of Trigonometric Functions with these engaging MCQs from Chapter 3 of Class 11 NCERT Mathematics (CBSE 2024-25). This chapter covers essential topics such as trigonometric identities, angles, radian and degree measures, domain and range of trigonometric functions, and their real-world applications. These multiple-choice questions are designed to test your understanding, enhance problem-solving skills, and build a solid mathematical foundation. By practicing these MCQs, you will gain confidence in applying trigonometric concepts effectively. Perfect for exam preparation and self-study, these questions make learning interactive, engaging, and enjoyable while helping you master key concepts effortlessly.
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Choice (d) is correct. Given that , tan θ = 3
we know that, sec² θ = 1 + tan² θ
⇒ sec² θ = 1 + 3² = 1 + 9 = 10 ⇒ cos² θ = 1/10
We know that sin² θ = 1 – cos² θ
sin² θ = 1 – 1/10 = 10 – 1/10 = 9/10
⇒ sin θ = ± √9/10 = ± 3/√10 ⇒ sin θ = -3√10
This question related to Chapter 3 maths Class 11th NCERT. From the Chapter 3: Trigonometric Functions. Give answer according to your understanding.
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