If 3 tan A = 4, then the value of the given expression is:
A
1/(2√2)
B
2√2
C
2√2/√3
D
(2 + √3)/2
Correct Option:
A
Explanation
Given 3 tan A = 4, tan A = 4/3. For an acute angle, take opposite = 4, adjacent = 3 and hypotenuse = 5, so sin A = 4/5 and cos A = 3/5. Therefore √[(1 − sin A)/(1 + cos A)] = √[(1/5)/(8/5)] = √(1/8) = 1/(2√2).
