Trigonometry · NDA previous year questions

2015 3 questions

1. Q622015 · 27 Sept 2015

   $f(xy)=f(x)+f(y)$ is true for all

   1. A.Polynomial functions $f$
   2. B.Trigonometric functions $f$
   3. C.Exponential functions $f$
   4. D.Logarithmic functions $f$
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   Answer: D

2. Q352015 · 19 Apr 2015

   The angle of elevation of the top of a tower from a point $20\mathrm{m}$ away from its base is $45^{\circ }$. What is the height of the tower?

   1. A.$10\mathrm{m}$
   2. B.$20\mathrm{m}$
   3. C.$30\mathrm{m}$
   4. D.$40\mathrm{m}$
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   Answer: B

3. Q1202015 · 19 Apr 2015

   Let $\theta$ be a positive angle. If the number of degrees in $\theta$ is divided by the number of radians in $\theta$, then an irrational number $180/\pi$ results. If the number of degrees in $\theta$ is multiplied by the number of radians in $\theta$, then an irrational number $125\pi /9$ results. The angle $\theta$ must be equal to

   1. A.$30^{\circ }$
   2. B.$45^{\circ }$
   3. C.$50^{\circ }$
   4. D.$60^{\circ }$
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   Answer: C