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Question

If p(√3 + cot 30°) = tan3 60° - 2sin 60°, then the value of p is:

This question was previously asked in
SSC CGL 2024 (Tier-I) Previous Year Paper (17-Sep-2024) (Shift 3)
The correct answer is

1

Using trigonometric identities, we calculate that p = 1.

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Similar Questions

  1. If $\sin(x) = 0.6$ and $x \in (0, \pi/2)$, find $\sin(2x) + \cos(2x)$.
  2. If $\cos A = 1 - 2\sin^2A$, then what is the value of $\cos 2A$?
  3. If $\sin(3x + 10^{\circ}) = \cos(2x - 5^{\circ})$, find x.
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Important Questions from Trigonometry

  1. The value of 5 sin 14° sec 76° + 3 cot 15° cot 75° + 2 tan 45° is:

  2. If two complimentary angles are in the ratio of 4 : 5, find the greater angle.

  3. If \(\frac{\sin\spaceθ \space+\space \cos\spaceθ} {\sin \spaceθ \space-\space \cos \spaceθ} = \frac{\sqrt3 \space-\space 1}{\sqrt3 \space+\space 1} \) , then the angle θ is 

  4. If tan α = 1/2, tan β = 1/3, then find α + β.

  5. Simplify: sin (A + B) sin (A – B)

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