If $15\cot\text{A}=8,$ find the value of $\sin\text{A}$ and $\sec\text{A}.$
View full solution →Question types
Trigonometric Ratios question types
35 questions across 3 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
35
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3
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5
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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 $\sin\theta=\frac{\sqrt{3}}{2},$ find the value of the all T-ratios of $\theta.$
View full solution →If $\sin\theta=\frac{\text{a}^2-\text{b}^2}{\text{a}^2+\text{b}^2},$ find the value of the all T-ratios of $\theta.$
View full solution →If $\text{cosec}\theta=\sqrt{10},$ find the value of the all T-ratios of $\theta.$
View full solution →If $\text{cosec}\theta=2,$ show that $\Big(\cot\theta+\frac{\sin\theta}{1+\cos\theta}\Big)=2.$
View full solution →If $\tan\theta=\frac{20}{21},$ show that $\frac{\big(1-\sin\theta+\cos\theta\big)}{\big(1+\sin\theta+\cos\theta\big)}=\frac37.$
View full solution →In a $\triangle\text{ABC},\angle\text{B}=90^\circ,\text{AB}=24\text{cm}$ and BC = 7cm.
Find:
View full solution →Find:
- $\sin\text{A}$
- $\cos\text{A}$
- $\sin\text{C}$
- $\cos\text{C}.$
If $\sin\alpha=\frac12,$ Prove that $\big(3\cos\alpha-4\cos^3\alpha\big)=0.$
View full solution →If $\sin\theta=\frac{3}{4},$ show that $\sqrt{\frac{\text{cosec}^2\theta-\cot^2\theta}{\sec^2\theta-1}}=\frac{\sqrt{7}}{3}.$
View full solution →If $\tan\theta=\frac{1}{\sqrt{7}},$ show that $\frac{\big(\text{coses}^2\theta-\sec^2\theta\big)}{\big(\text{cosec}^2\theta+\sec^2\theta\big)}=\frac34.$
View full solution →If $\tan\theta=\frac{\text{a}}{\text{b}},$ show that $\frac{(\text{a}\sin\theta-\text{b}\cos\theta)}{(\text{a}\sin\theta+\text{b}\cos\theta)}=\frac{\big(\text{a}^2-\text{b}^2\big)}{\big(\text{a}^2 +\text{b}^2\big)}.$
View full solution →In a $\triangle\text{ABC},\angle\text{B}=90^\circ,\angle\text{AB}=12\text{cm}$ and BC = 5cm.
Find:
View full solution →Find:
- $\cos\text{A}$
- $\text{cosec}\text{A}$
- $\cos\text{C}$
- $\text{cosec}\text{C}.$
If $\text{x}=\text{cosec}\text{A}+\cos\text{A}$ and $\text{y}=\text{cosec}\text{A}-\cos\text{A}$ then Prove that $\Big(\frac{2}{\text{x}+\text{y}}\Big)^2+\Big(\frac{\text{x}-\text{y}}{2}\Big)^2-1=0.$
View full solution →In the figure of $\triangle\text{PQR},\angle\text{P}=\theta^\circ$and $\angle\text{R}=\phi^\circ.$
Find:
View full solution →Find:
- $\big(\sqrt{\text{x}+1}\big)\cot\phi$
- $\big(\sqrt{\text{x}^3+\text{x}^2}\big)\tan\theta$
- $\cos\theta$
In a right $\triangle\text{ABC},$ right-angled at B, if $\tan\text{A}=1$ then verify that $2\sin\text{A}\cdot\cos\text{A}=1.$
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