Trigonometry

Are you preparing for campus placements,Banking,SSC, IAS, Insurance,Defence and other competitive exams? Then, make sure to take some time in practicing the Trigonometry questions and answer in Quantitative Aptitude. Moreover, only those questions are included that are relevant and likely to be asked in any competitive exam. So, take these questions and answer, brush up your skills and practice to stay fully prepared for any your exam.

• Q22.Given that $\sin A=\frac{\sqrt{3}}{2}\text{ and }\cos B=\frac{1}{\sqrt{2}}.FindA+Bfor\frac{\pi }{2}\prec A\prec B\prec \pi .$

  A) $\frac{9\pi }{4}$
  B) $\frac{7\pi }{2}$
  C) $\frac{17\pi }{12}$
  D) None of these
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• Q23.Find the value of cos⁡2x for x in third quadrant given that tan⁡x=4.

  A) $\frac{1}{\sqrt{17}}$
  B) $-\frac{1}{\sqrt{17}}$
  C) $\frac{15}{17}$
  D) $-\frac{15}{17}$
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• Q24.A 24m high building and a lamp post are at opposite sides of a road. The angle of depression from top of building to bottom of the lamp post is 30°. and that to the top is 60°.. Find the ratio of height of lamppost and the width of the road.

  A) $\sqrt{3} :2$
  B) $1 : \sqrt{3}$
  C) 2 : 1
  D) None of the above
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• Q25.If tan⁡θ = cot⁡α, then find the value of θ+ α ?

  A) 60°
  B) 180°
  C) 45°
  D) 90°
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• Q26.Evaluate

  A) -1
  B) 1
  C) 2
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• Q27.$\left(1+ co{t}^2\theta \right)\left(1+cos\theta \right)\left(1-cos\theta \right)=?$

  A) -1
  B) 2
  C) 1
  D) -2
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• Q28.If in the given figure $cos {48}^0=Sin 2\alpha =x,$ then sin 2β will be equal to:
  

  A) x
  B) ${\text{x}}^2$
  C) -x
  D) 2x
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