TS EAMCET · Maths · Trigonometric Ratios & Identities
\(4 \cos \frac{7 \theta}{2} \cos \frac{3 \theta}{2} \sin 5 \theta=\)
- A \(\sin 10 \theta+\sin 7 \theta-\sin 3 \theta\)
- B \(\sin 10 \theta+\sin 7 \theta-\sin 5 \theta\)
- C \(\sin 10 \theta+\sin 7 \theta+\sin 3 \theta\)
- D \(\sin 10 \theta+\sin 7 \theta+\sin 5 \theta\)
Answer & Solution
Correct Answer
(C) \(\sin 10 \theta+\sin 7 \theta+\sin 3 \theta\)
Step-by-step Solution
Detailed explanation
\(4 \cos \frac{7 \theta}{2} \cos \frac{3 \theta}{2} \sin 5 \theta = 2 \left( 2 \cos \frac{7 \theta}{2} \cos \frac{3 \theta}{2} \right) \sin 5 \theta\)…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- \(\left\{x \in R: \frac{2 x-1}{x^3+4 x^2+3 x} \in R\right\}\) equalsTS EAMCET 2009 Easy
- Consider the simultaneous linear equations \(\mathrm{AX}=\mathrm{B}\) and \(\mathrm{AY}=\mathrm{Q}\). If \(\mathrm{A}\) is an invertible matrix and \(\mathrm{B}\) is the unique solution of \(\mathrm{AY}=\mathrm{Q}\), then the solution of \(\mathrm{AX}=\mathrm{B}\) isTS EAMCET 2022 Hard
- If \(\int \frac{(x-1) d x}{(x+1) \sqrt{x^3+x^2+x}}=A \cdot \tan ^{-1} \sqrt{f(x)}+\) constant, then the ordered pair \((A, f(-1))=\)TS EAMCET 2020 Hard
- Let \(a_n=\frac{10^n}{n !}\) for \(n=1,2,3, \ldots\) then the greatest value of \(n\) for which \(a_n\) is the greatest isTS EAMCET 2010 Medium
- If \(y(x)=\tan ^{-1}\left(\frac{\sqrt{1+a^2 x^2}-1}{a x}\right)\) and \(\left(1+a^2 x^2\right) y^{\prime \prime}+g(x) y^{\prime}=0\) then, the sum of the roots of the equation \(1+a^2 x^2+g(x)=0\) isTS EAMCET 2020 Hard
- If \(\alpha, \beta\) and \(\gamma\) are the roots of the equation \(x^3+p x^2+q x+r=0\), then the coefficient of \(x\) in the cubic equation whose roots are \(\alpha(\beta+\gamma), \beta(\gamma+\alpha)\) and \(\gamma(\alpha+\beta)\) isTS EAMCET 2012 Easy
More PYQs from TS EAMCET
- Each of the two orthogonal circles \(C_1\) and \(C_2\) passes through both the points \((2,0)\) and \((-2,0)\). If \(y=m x+c\) is a common tangent to these circles, thenTS EAMCET 2019 Hard
- Consider two tuning forks with natural frequency \(250 \mathrm{~Hz}\). One is moving away and another is moving towards a stationary observer at same speed. If the observer hears beats of frequency \(5 \mathrm{~Hz}\), then the speed of the tuming fork is : (Given, speed of sound wave is \(350 \mathrm{~m} / \mathrm{s}\).)TS EAMCET 2019 Hard
- Consider the following reaction equilibrium: \(\mathrm{N}_2(g)+3 \mathrm{H}_2(g) \rightleftharpoons 2 \mathrm{NH}_3(g)\) Initially, 1 mole of \(\mathrm{N}_2\) and 3 moles of \(\mathrm{H}_2\) are taken in a \(2 \mathrm{~L}\) flask. At equilibrium state if, the number of moles of \(\mathrm{N}_2\) is 0.6 , what is the total number of moles of all gases present in the flask?TS EAMCET 2003 Medium
- If \(f: R \rightarrow R\) and \(g: R \rightarrow R\) are defined by \(f(x)=x-[x]\) and \(g(x)=[x]\) for \(x \in R\), where \([x]\) is the greatest integer not exceeding \(x\), then for every \(x \in R, f(g(x))\) is equal toTS EAMCET 2007 Easy
- If \(Q\) denotes the set of all rational numbers and \(f\left(\frac{p}{q}\right)=\sqrt{p^2-q^2}\) for any \(\frac{p}{q} \in Q\), then observe the following statements. I. \(f\left(\frac{p}{q}\right)\) is real for each \(\frac{p}{q} \in Q\) II. \(f\left(\frac{p}{q}\right)\) is a complex number for each \(\frac{p}{q} \in Q\). Which of the following is correct?TS EAMCET 2007 Medium
- A sound wave of frequency is travelling in air. The speed of sound in the air is What is the phase difference at a given instant between two points separated by a distance of along the direction of propagation?TS EAMCET 2021 Medium