Question 13 - NCERT Exemplar - MCQ - Chapter 8 Class 10 Introduction to Trignometry

Last updated at April 16, 2024 by

Given that sin α = 1/2  and cos β = 1/2 , then the value of (α + β) is

(A) 0°   (B) 30°   (C) 60°   (D) 90°

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Question 13 Given that sin α = 1/2 and cos β = 1/2 , then the value of (α + β) is (A) 0° (B) 30° (C) 60° (D) 90° Now, sin α = 𝟏/𝟐 sin α = sin 30° ∴ α = 30° cos β = 𝟏/𝟐 cos β = cos 60° ∴ β = 60° Thus, 𝛼 + β = 30° + 60° = 90° So, the correct answer is (D)

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.