If cos x = 1/2 and π < x < 3π/2, then the value of 2tan2x - 3Cosec2x is:
Show answer & explanation
Correct answer: A
Explanation
Correct Answer is option 1 i.e. 2
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Concept |
Understanding |
Application |
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Cos 60 = 1/2 Tan 60 = √3 Cosec 60 = 2/√3 |
Given that Cos x = 1/2 and π < x < 3π/2 Hence, x = π/3 |
Now, 2tan2x - 3Cosec2x Put x = 60 ⇒ 2 × 3 - 3 × 4/3 ⇒ 6 - 4 = 2 |