AP EAMCET · Maths · Trigonometric Ratios & Identities
\(\sin 120^{\circ} \cos 150^{\circ}-\cos 240^{\circ} \sin 330^{\circ}\) is equal to :
- A 1
- B -1
- C \(\frac{2}{3}\)
- D \(-\left(\frac{\sqrt{3}+1}{4}\right)\)
Answer & Solution
Correct Answer
(B) -1
Step-by-step Solution
Detailed explanation
\(\sin 120^{\circ} \cos 150^{\circ}-\cos 240^{\circ} \sin 330^{\circ}\) \(=-\cos 30^{\circ} \sin 60^{\circ}-\cos 60^{\circ} \sin 30^{\circ}\) \(=-\left(\sin 60^{\circ} \cos 30^{\circ}+\cos 60^{\circ} \sin 30^{\circ}\right)\)…
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
- If are two points on the curve in the rectangular Cartesian coordinate system such that thenAP EAMCET 2022 Hard
- The number of distinct real solutions for the equation \(\left|x^2+2 x-8\right|+x-2=0\) isAP EAMCET 2018 Medium
- A student has to answer 10 out of 13 questions in an examination. The number of ways in which he can answer if he must answer atleast 3 of the first five questions isAP EAMCET 2021 Medium
- \(\int_2^3 \frac{d x}{x^2-x}\) is equal toAP EAMCET 2002 Medium
- \(\left(\tan ^{-1} x\right)^2+\left(\cot ^{-1} x\right)^2=\frac{5 \pi^2}{8} \Rightarrow x=\)AP EAMCET 2011 Medium
- If \(C_j\) stands for \({ }^n C_j\), then
\[
\frac{\mathrm{C}_1}{\mathrm{C}_0}+\frac{2 \times \mathrm{C}_2}{\mathrm{C}_1}+\frac{3 \times \mathrm{C}_3}{\mathrm{C}_2}+\ldots+\frac{\mathrm{n} \times \mathrm{C}_{\mathrm{n}}}{\mathrm{C}_{\mathrm{n}-1}}=
\]AP EAMCET 2023 Hard
More PYQs from AP EAMCET
- The specific heat of helium at constant volume is 12.6 \(\mathrm{Jmol}^{-1} \mathrm{~K}^{-1}\). The specific heat of helium at constant pressure in \(\mathrm{Jmol}^{-1} \mathrm{~K}^{-1}\) is about (Assume the temperature of the gas is moderate, universal gas constant, \(R=8.314 \mathrm{Jmol}^{-1} \mathrm{~K}^{-1}\) )AP EAMCET 2015 Easy
- Which of the following is not correct?AP EAMCET 2005 Easy
- If on an average mountain climbers out of return safely, what is the probability that with climbers out, at least will return safely?AP EAMCET 2020 Medium
- If \(x, y\) are two positive integers such that \(x+y=20\) and the maximum value of \(x^3 y\) is \(k\) at \(x=\alpha, y=\beta\) then \(\frac{k}{\alpha^2 \beta^2}=\)AP EAMCET 2024 Medium
- In the circuit shown in figure, if the point \(R\) is earthed and point \(P\) is given a potential of \(+1800 \mathrm{~V}\), then charges on \(C_2\) and \(C_3\) are respectively
AP EAMCET 2018 Medium - If the function \(f:[-1,1] \rightarrow R\) defined by \(f(x)=\left\{\begin{array}{cc}2^x+1, & \text { for } x \in[-1,0) \\ 1, & \text { for } x=0 \\ 2^x-1, & \text { for } x \in(0,1]\end{array}\right.\) then, in \([-1,1], f(x)\) hasAP EAMCET 2019 Medium