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Trigonometric Ratios Of Multiple And Sub Multiple Angles MATHS - Trigonometric Ratios Of Multiple And Sub Multiple Angles

Rajasthan Board (RBSE) - STD 11 Science - MATHS (Rajasthan - English Medium). 105 questions in this chapter.

Question types

Trigonometric Ratios Of Multiple And Sub Multiple Angles question types

105 questions across 5 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

105
Questions
5
Question groups
5
Question types
Sample Questions

Trigonometric Ratios Of Multiple And Sub Multiple Angles questions

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

Q 1M.C.Q (1 Marks)1 Mark
If in $\text{a}\triangle\text{ABC},\tan\text{B}+\tan\text{C}=6,$ then $\cot\text{A}\cot\text{B}\cot\text{C}=$
  1. $6$
  2. $1$
  3. $\frac16$
  4. None of these
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Q 2M.C.Q (1 Marks)1 Mark
If $\tan\theta_1\tan\theta_2=\text{k},$ then $\frac{\cos(\theta_1-\theta_2)}{\cos(\theta_1+\theta_2)}=$
  1. $\frac{1+\text{k}}{1-\text{k}}$
  2. $\frac{1-\text{k}}{1+\text{k}}$
  3. $\frac{\text{k}+1}{\text{k}-1}$
  4. $\frac{\text{k}-1}{\text{k}+1}$
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Q 4M.C.Q (1 Marks)1 Mark
The value of $\cos^2\Big(\frac{\pi}{6}+\text{x}\Big)-\sin^2\Big(\frac\pi6-\text{x}\Big)$ is:
  1. $\frac{1}{2}\cos2\text{x}$
  2. $0$
  3. $-\frac{1}{2}\cos2\text{x}$
  4. $\frac12$
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Q 91 Marks Question1 Mark
If $\alpha+\beta-\gamma=\pi,$ and $\sin^2\alpha+\sin^2\beta-\sin^2\gamma=\lambda\sin\alpha\sin\beta\cos\gamma,$ then write the value of $\lambda.$
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Q 112 Marks Questions2 Marks
Prove that:
$\sin\Big(\frac{\pi}{3}-\text{x}\Big)\cos\Big(\frac{\pi}{6=1}+\text{x}\Big)+\cos\Big(\frac{\pi}{3}\text{x}\Big)\sin\Big(\frac{\pi}{6}+\text{x}\Big)=1$
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Q 132 Marks Questions2 Marks
If $\frac{\sin(\text{x}+\text{y})}{\sin(\text{x}-\text{y)}}=\frac{\text{a}+\text{b}}{\text{a}-\text{b}}$ show that $\frac{\tan\text{x}}{\tan\text{y}}=\frac{\text{a}}{\text{b}}.$
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Q 142 Marks Questions2 Marks
Prove that:
$\sin\Big(\frac{4\pi}{9}+\text{7}\Big)\cos\Big(\frac{\pi}{9}+\text{7}\Big)-\cos\Big(\frac{4\pi}{9}+\text{7}\Big)\sin\Big(\frac{\pi}{9}+\text{7}\Big)=\frac{\sqrt{3}}{2}$$ $
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Q 163 Marks Question3 Marks
If $\sin\text{A}=\frac{1}{2},$ $\cos\text{B}=\frac{\sqrt{3}}{2},$ where $\frac{\pi}{2}<\text{A}<\pi$ and $0<\text{B}<\frac{\pi}{2},$find the following:​

$\tan{\text{(A+B)}}$​

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Q 183 Marks Question3 Marks
If $\sin\text{A}=\frac{4}{5}$ and $\cos\text{B}=\frac{5}{13}$ Where $0<\text{A},\text{B}<\frac{\pi}{2},$ find the value of the following:
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Q 203 Marks Question3 Marks
If $\cos\text{A}=-\frac{24}{25},$ $\cos\text{B}=-\frac{12}{13},$ where A and B both lie in second quadrant,find the value of $\sin\text{(A+B)}$.
  1. $\sin\text{(A+B)}$
  2. $\cos\text{(A+B)}$ 
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Q 245 Marks Questions5 Marks
Prove that:
$\frac{1}{\cos\text{(x}-\text{b})\cos\text{(x}-\text{b)}}=\frac{\tan\text{(x}-\text{a)}-\tan\text{(x}-\text{b)}}{\sin\text{(a}-\text{b)}}$
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Q 255 Marks Questions5 Marks
If $\alpha\text{ and }\beta$ are two solutions of the equation $\text{a}\tan\text{x+b}\sec\text{x}=\text{c},$ the find the value of $\sin(\alpha+\beta)\text{ and }\cos(\alpha+\beta).$
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