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.

• Q15.$\frac{1}{1+\sin \alpha }+\frac{1}{1-\sin \alpha }=?$

  A) $$2ta{n}^2\alpha$$
  B) $$\frac{2}{{\cos }^2\alpha }$$
  C) $$se{c}^2\alpha$$
  D) $$ta{n}^2\alpha$$
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• Q16.$\frac{{\sin }^{2}32°{\sin }^{2}58°}{{\cos }^{2}32°{\cos }^{2}58°}=$

  A) 1
  B) -1
  C) None of these
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• Q17.If $\sin \theta =\frac{x}{y}, \text{then }{\sec }^2\theta =$

  A) $\frac{x^2}{y^2-x^2}$
  B) $\frac{1}{x^2-y^2}$
  C) $\frac{y^2}{y^2-x^2}$
  D) $\frac{1}{y^2-x^2}$
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• Q18.The minimum value of $4si{n}^2\theta +5co{s}^2\theta$

  A) 5
  B) 4
  C) -5
  D) 3
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• Q19.A structure is made by connecting the top of two adjacent sticks using a string and the heights of sticks are 8m and 12m respectively. If the string makes an angle of 45° with horizontal, find its length.

  A) $3\sqrt{3}$
  B) $4\sqrt{2}$
  C) 4
  D) None of these
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• Q20.If $cosec 2A=\sec \left(A-\frac{\pi }{4}\right),$ then A =

  A) $\frac{4\pi }{3}$
  B) $\frac{3\pi }{4}$
  C) $\frac{\pi }{4}$
  D) $\frac{3\pi }{2}$
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• Q21.A 2m flag is erected over the dome of a temple. The angle of elevation of the top the flag from a point $30\sqrt{3}\text{ m}$ meter away from the temple is 60°. Find the height of the temple.

  A) 92 m
  B) 28 m
  C) 88 m
  D) None of these
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