Mathematics
Assertion (A): If 0° A + B 90°, A B and cos (A + B) = = sin (A - B), then we can say that A = 45° and B = 15°. Reason (R): sin 60° = cos 60°. 1. Assertion (A) is true, Reason (R) is false. 2. Assertion (A) is false, Reason (R) is true. 3. Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct reason for Assertion (A). 4. Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct reason (or explanation) for Assertion (A).
Related Questions
Consider the following two statements.
Statement 1: sin 18° - cos 72° = 0.
Statement 2: sin θ = cos (90° - θ).
Which of the following is valid?
Both the statements are true.
Both the statements are false.
Statement 1 is true, and Statement 2 is false.
Statement 1 is false, and Statement 2 is true.
Assertion (A): If ΔABC is equilateral, then cos A + cos B + cos C = sin A + sin B + sin C.
Reason (R): In isosceles right angled triangle ABC, cos A + cos C = sin A + sin C.
Assertion (A) is true, Reason (R) is false.
Assertion (A) is false, Reason (R) is true.
Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct reason for Assertion (A).
Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct reason (or explanation) for Assertion (A).
Find the values of :
sin2 60° - cos2 45° + 3 tan2 30°