If ∆ABC is right angled at C, then the value of cos (A + B) is
(A) 0 (B) 1 (C) 1/2 (D) √3/2
NCERT Exemplar - MCQ
NCERT Exemplar - MCQ
Last updated at April 16, 2024 by Teachoo
Question 11 If ∆ABC is right angled at C, then the value of cos (A + B) is (A) 0 (B) 1 (C) 1/2 (D) √3/2 Given ∠ C = 90° Now, By Angle sum property in Δ ABC ∠ A + ∠ B + ∠ C = 180° ∠ A + ∠ B + 90° = 180° ∠ A + ∠ B = 180° − 90° ∠ A + ∠ B = 90° Now, cos (A + B) = cos 90° = 0 So, the correct answer is (A)