Trigonometry · NDA previous year questions

2022 30 questions

1. Q372022 · 10 Apr 2022

   If $3{\sin }^{-1}x+{\cos }^{-1}x=\pi$, then what is x equal to?

   1. A.0
   2. B.$\frac{1}{2}$
   3. C.$\frac{1}{\sqrt{2}}$
   4. D.$\frac{1}{\sqrt{3}}$
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   Answer: C

2. Q382022 · 10 Apr 2022

   If tan α + tan β = 1 - tan α.tan β, where tan α tan β ≠ 1, then which of the following is one of the values of (α + β) ?

   1. A.$\frac{\pi }{6}$
   2. B.$\frac{\pi }{4}$
   3. C.$\frac{\pi }{3}$
   4. D.$\frac{\pi }{2}$
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   Answer: B

3. Q392022 · 10 Apr 2022

   If (1 + tan θ) (1 + tan 9θ) = 2, then what is the value of tan(10θ)?

   1. A.0
   2. B.1
   3. C.2
   4. D.Infinite
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   Answer: B

4. Q402022 · 10 Apr 2022

   What is the value of sin 0° + sin 10° + sin 20° + sin 30° + ⋯ + sin 360°?

   1. A.-1
   2. B.0
   3. C.1
   4. D.2
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   Answer: B

5. Q862022 · 10 Apr 2022

   Let a, b, c be the lengths of sides BC, CA, AB respectively of a triangle ABC. If p is the perimeter and q is the area of the triangle, then what is $p(p-2a)\tan \left(\frac{A}{2}\right)$ equal to ?

   1. A.q
   2. B.2q
   3. C.3q
   4. D.4q
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   Answer: D