Question types

Trigonometric Ratios question types

35 questions across 2 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

35
Questions
2
Question groups
5
Question types
Sample Questions

Trigonometric Ratios questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

If $\tan\theta=\frac{\text{a}}{\text{b}},$ show that $\frac{(\text{a}\sin\theta-\text{b}\cos\theta)}{(\text{a}\sin\theta+\text{b}\cos\theta)}=\frac{\big(\text{a}^2-\text{b}^2\big)}{\big(\text{a}^2 +\text{b}^2\big)}.$
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In a $\triangle\text{ABC},\angle\text{B}=90^\circ,\angle\text{AB}=12\text{cm}$ and$ BC = 5\ cm.$
Find:
  • A
    $\cos\text{A}$
  • B
    $\text{cosec}\text{A}$
  • C
    $\cos\text{C}$
  • D
    $\text{cosec}\text{C}.$
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If $\text{x}=\text{cosec}\text{A}+\cos\text{A}$ and $\text{y}=\text{cosec}\text{A}-\cos\text{A}$ then Prove that $\Big(\frac{2}{\text{x}+\text{y}}\Big)^2+\Big(\frac{\text{x}-\text{y}}{2}\Big)^2-1=0.$
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In the figure of $\triangle\text{PQR},\angle\text{P}=\theta^\circ$and $\angle\text{R}=\phi^\circ.$
Find:
  1. $\big(\sqrt{\text{x}+1}\big)\cot\phi$
  2. $\big(\sqrt{\text{x}^3+\text{x}^2}\big)\tan\theta$
  3. $\cos\theta$
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