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.

• Q36.$$\begin{array}{l}If\theta +\phi ={90}^0,then\\ \sqrt{\frac{\tan \theta \tan \phi +\tan \theta \cot \phi }{\sin \theta \sec \phi }-\frac{{\sin }^2\phi }{{\cos }^2\theta }}=?\end{array}$$

  A) $$\tan \theta$$
  B) $$\sin \theta$$
  C) $$\cot \theta$$
  D) $$\text{cosec}\theta$$
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• Q37.If P, Q, R are the interior angles of a triangle PQR, then $$\cot \frac{Q+R}{2}=?$$

  A) $$\cot P$$
  B) $$\cot \frac{P}{2}$$
  C) $$\tan P$$
  D) $$\tan \frac{P}{2}$$
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• Q38.Evaluate
  $${\left(\sin \pi +\cos ec\pi \right)}^2+{\left(\cos \pi +\sec \pi \right)}^2-7$$

  A) $${\tan }^2$$
  B) $${\tan }^2$$
  C) $$7$$
  D) $$7$$
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• Q39.$$\cos e{c}^2\theta +{\sin }^2\theta -2=?$$

  A) $$\cos$$
  B) $${\sin }^2$$
  C) $${\cos }^4$$
  D) $${\cos }^4$$
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• Q40.$$If\sin \phi +\cos \phi =a\text{ and }\sec \phi +\cos ec\phi =b,thenb\left(a^2-1\right)=?$$

  A) $$a$$
  B) $$2a$$
  C) $$3a$$
  D) $$2a^2$$
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• Q41.A person of height 10m wants to get a fruit which is on a pole of height $$\left(\frac{50}{3}\right)m.Ifhestandsatadistanceof\left(\frac{20}{\sqrt{3}}\right)mfromthefootofthepole,thentheangleatwhichheshouldthrowthestone,sothatithitsthefruitis:$$

  A) $${60}^0$$
  B) $${45}^0$$
  C) $${90}^0$$
  D) $${30}^0$$
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• Q42.The Product of $\sin 1\text{°}\text{.Sin}2\text{°}\text{. Sin}3\text{° }\mathrm{......................}\text{ Sin}180\text{°}$

  A) -1
  B) 1
  C) $\infty$
  D) $$0$$
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