Mathematics
cos A = √3/2 and sin B = 1/2 = Assertion (A): tan (A + B) = Reason (R): cos A = ⇒ A = 30° sin B = ⇒ B = 30° 1. A is true, R is false. 2. A is false, R is true. 3. Both A and R are true and R is correct reason for A. 4. Both A and R are true and R is incorrect reason for A.
Related Questions
For acute angle θ, sec2θ = 1 - tan2θ
Assertion(A): sec2θ = 1 - tan2θ is not a trigonometric identity.
Reason(R): For an acute angle θ, the trigonometric equation is an identity, if it is satisfied for every value of angle θ.
A is true, R is false.
A is false, R is true.
Both A and R are true and R is correct reason for A.
Both A and R are true and R is incorrect reason for A.
(1 + tan2 A)(1 - sin A)(1 + sin A)
Assertion(A): The value of given trigonometric expression is 0.
Reason(R): The given expression is equal to sec2 A.cos2 A
A is true, R is false.
A is false, R is true.
Both A and R are true and R is correct reason for A.
Both A and R are true and R is incorrect reason for A.