Question 17
sin (45° + θ) – cos (45° – θ) is equal to
(A) 2 cos θ (B) 0 (C) 2 sin θ (D) 1
Now,
sin (45° + θ) – cos (45° – θ)
Using sin A = cos (90° − A)
= cos (90° − [45° + θ] ) – cos (45° – θ)
= cos (90° − 45° − θ) – cos (45° – θ)
= cos (45° − θ) – cos (45° – θ)
= 0
So, the correct answer is (B)
Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.
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