If 2 sin² A + 2√2 cos A - 3 = 0, then find the value of tan A.
Show answer & explanation
Correct answer: A
Explanation
Has been given :
2sin²A + 2√2 cosA − 3 = 0
According to the formula:
sin²A = 1 − cos²A
2(1 − cos²A) + 2√2 cosA − 3 = 0
2 − 2cos²A + 2√2 cosA − 3 = 0
−2cos²A + 2√2 cosA − 1 = 0
2cos²A − 2√2 cosA + 1 = 0
(√2 cosA − 1)² = 0
√2 cosA = 1
cosA = 1/√2
sinA = 1/√2
tanA = sinA / cosA
= (1/√2) / (1/√2)= 1