AP EAMCET · Maths · Trigonometric Equations
The number of solutions of the equation when is
- A
- B
- C
- D
Answer & Solution
Correct Answer
(C)
Step-by-step Solution
Detailed explanation
Given, 4cos2θcos3θ=secθ ⇒4cos2θ·cos3θ=1cosθ ⇒4cos2θcos3θcosθ=1 ⇒2cos2θ2cos3θcosθ=1 ⇒2cos2θcos4θ+cos2θ=1 ⇒2cos2θcos4θ+2cos22θ-1=0…
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
- In List-I, a pair of circles is given in A, B, C and in List-II, angle between those pair of circles is given. Match the items from List-I to List-II.
\begin{array}{lll}
\hline & \multicolumn{1}{c}{ List-I } & List-II \\
\hline A (x-2)^2+y^2=2(x-2)^2+(y-1)^2=1 & I & 90^{\circ} \\
\hline B x^2+y^2-6 x-6 y+9=0 & II 135^{\circ} \\
x^2+y^2-4 x+4 y-9=0 & & \\
\hline C x^2+y^2+4 x-14 y+28=0 & III 60^{\circ} \\
x^2+y^2+4 x-5=0 & & \\
\hline & & IV 30^{\circ} \\
\hline
\end{array}
The correct matching is
A B CAP EAMCET 2018 Easy - If the roots of the equation \(a x^2+a x+c=0\) are in the ratio \(p: q\), then \(\sqrt{\frac{p}{q}}+\sqrt{\frac{q}{p}}=\)AP EAMCET 2020 Easy
- Find the equation of a straight line which passes through the point \((-1,-1)\) and makes an angle \(150^{\circ}\) with positive direction of \(X\)-axis.AP EAMCET 2021 Easy
- \(f(x)=\left\{\begin{array}{cc}\frac{x-4}{|x-4|}+a, & x < 4 \\ a+b, & x=4 \\ \frac{x-4}{|x-4|}+b, & x>4\end{array}\right.\)
If \(f(x)\) given above is continuous at \(x=4\), then find the values of ' \(a\) ' and ' \(b\) '.AP EAMCET 2020 Medium - \(\lim _{n \rightarrow \infty}\left\{\frac{1}{n+m}+\frac{1}{n+2 m}+\frac{1}{n+3 m}+\ldots+\frac{1}{n+n m}\right\}=\)AP EAMCET 2019 Medium
- If \(a b \neq 0\), then the equation of the tangent at \((a, b)\) to the curve \(\left(\frac{x}{a}\right)^n+\left(\frac{y}{b}\right)^n=2\) isAP EAMCET 2017 Easy
More PYQs from AP EAMCET
- Which of the following reasons support that arylhalides are less reactive than alkyl halides towards nucleophilic substitution reactions?
a) The formation of more stable arenium ion
b) Partial double bond character of \(\mathrm{C}-\mathrm{X}\) bond
c) Longer \(\mathrm{C}-\mathrm{X}\) bond
d) \(\mathrm{sp}^2\) carbon bonded to \(\mathrm{X}\), is more electronegativeAP EAMCET 2017 Medium - Let \(\overrightarrow{\mathbf{a}}\) be a unit vector, \(\overrightarrow{\mathbf{b}}=2 \hat{\mathbf{i}}+\hat{\mathbf{j}}-\hat{\mathbf{k}}\) and \(\overrightarrow{\mathbf{c}}=\hat{\mathbf{i}}+3 \hat{\mathbf{k}}\). Then, maximum value of \([\overrightarrow{\mathbf{a}} \overrightarrow{\mathbf{b}} \overrightarrow{\mathbf{c}}]\) isAP EAMCET 2008 Easy
- The maximum acceleration with which a body of mass \(200 \mathrm{~kg}\) is lowered into a well using a rope having a breaking force of \(50 \mathrm{~kg}\)-wt is
(Acceleration due to gravity \(=10 \mathrm{~ms}^{-2}\) )AP EAMCET 2023 Medium - In Dumas method one gram of carbon compound gives \(50 \mathrm{~mL}\) of \(\mathrm{N}_2\) at \(300 \mathrm{~K}\) and \(740 \mathrm{~mm} \mathrm{Hg}\) pressure. If the aqueous tension at \(300 \mathrm{~K}\) is \(15 \mathrm{~mm} \mathrm{Hg}\), what is the percentage of nitrogen in it?AP EAMCET 2019 Medium
- The standard molar enthalpy of vaporisation \(\left(\Delta_{\text {vap }} H^{\circ}\right)\) of \(A, B\) and \(C\) liquids is \(23.3,41\) and \(29 \mathrm{~kJ} \mathrm{~mol}^{-1}\) respectively. The correct order of diople-dipole attractive forces in these liquids isAP EAMCET 2022 Medium
- If the radius of a sphere is measured as with an error of , then find the approximate error in calculating its surface area.AP EAMCET 2021 Easy