If cosθ = 4x and sinθ = 4/x, x ≠ 0, then the value of (1/x2 + x2) is:
Show answer & explanation
Correct answer: A
Explanation
Correct Answer is option 1 i.e. 1/16
|
Concept |
Understanding |
Application |
|
Sin2θ + cos2θ = 1 |
Given cos θ = 4x and sin θ = 4/x, x ≠ 0 |
Hence, (4/x)2 + (4x)2 = 1 ⇒ 16 (1/x2 + x2) = 1 ⇒ (1/x2 + x2) = 1/16 |