Sin A + Cos B = 1, A = 30° and B is an acute angle, then find the value of B.
CBSE Class 10 Sample Paper for 2021 Boards - Maths Standard
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CBSE Class 10 Sample Paper for 2021 Boards - Maths Standard
Last updated at April 16, 2024 by Teachoo
Question 12 sin A + cos B = 1, A = 30° and B is an acute angle, then find the value of B.Given sin A + cos B = 1 Putting A = 30° sin 30° + cos B = 1 𝟏/𝟐 + cos B = 1 cos B = 1 − 1/2 cos B = 1/2 cos B = cos 60° Thus, B = 60°