If sin θ + cos θ = 1, then the value of sin 2θ is equal to
If sin θ + cos θ = 1, then the value of sin 2θ is equal to
(A) 1
(B)1/2
(C) 0
(D) –1
6 views
1 Answers
Answer is (C)
Given,
sin θ + cos θ = 1
Sq. both side
(sin θ + cos θ)2 = 12
sin2 θ + cos2 θ + 2sin θ .cos θ = 1
1 + 2sin θ .cos θ = 1
2sin θ .cos θ = 1 -1 = 0
sin 2θ = 0 (sin 2θ = 2sin θ .cos θ )
6 views
Answered