## 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°

Last updated at Aug. 19, 2021 by Teachoo

Transcript

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)

NCERT Exemplar - MCQ

Chapter 8 Class 10 Introduction to Trignometry (Term 1)

Serial order wise

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.