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Subject - Mathematics:

General

MCQ - 350-9082

Question:

If tan θ = √3, then

13 Dup 1 -20134496

  1. -1
  2. 1
  3. -1/2
  4. 1

Correct Answer: D

Explanation:

Given,
tan θ = √3
⇒ tan2θ = 3
⇒ sec2θ - 1 = 3 [As tan2θ + 1 = sec2θ]
⇒ sec2θ = 4 …[1]
Also,

14 Dup 2 -28763124
15 Dup 3 -96729544
Squaring both sides,
16 Dup 2 -57245228
[As cot2θ + 1 = 1/3
17 Dup 2 -94125384
cosec2θ = 4/3 …[2]
Putting the values from [1] and [2] into given eqn

18 Dup 1 -85284776

Record Performance

504 MCQ for effective preparation of the test of General of Mathematics section.

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