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Introduction to Trigonometry · Class 10 · CBSE Mathematics

If sin theta = frac{3}{5}, then the value of tan theta is:

Practice question from Introduction to Trigonometry (Class 10 · CBSE Mathematics), with the correct answer and a step-by-step solution.

easy · MCQ · Q-8B8AC2

If sin⁡θ=35\sin \theta = \frac{3}{5}, then the value of tan⁡θ\tan \theta is:

  1. A.43\frac{4}{3}
  2. B.34\frac{3}{4}Correct answer
  3. C.54\frac{5}{4}
  4. D.45\frac{4}{5}

Solution

Given sin⁡θ=PerpendicularHypotenuse=35\sin \theta = \frac{\text{Perpendicular}}{\text{Hypotenuse}} = \frac{3}{5}. Using Pythagoras theorem, Base =52−32=4= \sqrt{5^2 - 3^2} = 4. Therefore, tan⁡θ=PerpendicularBase=34\tan \theta = \frac{\text{Perpendicular}}{\text{Base}} = \frac{3}{4}.

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