AP EAMCET · Maths · Trigonometric Equations
Find the value of \(\theta\), if \(|\tan \theta|=\tan \theta+\frac{1}{\cos \theta}\) and \(\theta \in[0,2 \pi]-\left\{ \pm \frac{\pi}{2}\right\}\)
- A \(\frac{11 \pi}{3}\)
- B \(\frac{11 \pi}{6}\)
- C \(\frac{13 \pi}{3}\)
- D \(\frac{13 \pi}{6}\)
Answer & Solution
Correct Answer
(B) \(\frac{11 \pi}{6}\)
Step-by-step Solution
Detailed explanation
If \(\tan \theta \ge 0\): \(\tan \theta = \tan \theta + \frac{1}{\cos \theta} \implies 0 = \frac{1}{\cos \theta}\) (No solution). If \(\tan \theta \(-2\tan \theta = \frac{1}{\cos \theta}\) \(-2\frac{\sin \theta}{\cos \theta} = \frac{1}{\cos \theta}\) \(-2\sin \theta = 1\)…
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
- The eccentricity of the ellipse of minor-axis \(2 b\), if the line segment joining the foci subtend an angle \(2 \alpha\) at the upper vertex is equal toAP EAMCET 2020 Medium
- If the line joining the points \(A(2,3,-1)\) and \(B(3,5,-3)\) is perpendicular to the line joining \(C(1,2,3)\) and \(D(3, y, 7)\), then \(y=\)AP EAMCET 2019 Easy
- The equation whose solutions are the non-zero solutions of the equation \(\bar{z}=i z^2\), isAP EAMCET 2019 Easy
- If \(\sin A+\sin B+\sin C=0\) and \(\cos A+\cos B+\cos C=0\), then \(\cos (A+B)+\cos (B+C)+\cos (C+A)\) is equal toAP EAMCET 2015 Hard
- \(\mathrm{f}(\mathrm{x})\) is a continuous function on \(\mathbb{R}\) and \(\mathrm{y}=\mathrm{f}(\mathrm{x})\) is a curve. If \((\alpha, \beta)\) is a point such that \(\beta=f(\alpha)\) and \(p \alpha+m \beta+n=0\) \((\mathrm{p} \neq 0, \mathrm{~m} \neq 0)\), then which one of the following is True?AP EAMCET 2023 Hard
- If and are the focii of an ellipse, is one end of the minor axis and , then the eccentricity of that ellipse isAP EAMCET 2018 Easy
More PYQs from AP EAMCET
- An emf \(E=6 \cos 6000\) t volt is applied to an L-R circuit of inductance \(4 \mathrm{mH}\) and resistance \(7 \Omega\). The amplitude of the current in the circuit is ____AP EAMCET 2017 Medium
- Solve \((8-t)^2 < \left(t^2-3 t-10\right)\)AP EAMCET 2020 Medium
- Conditions of diffraction isAP EAMCET 2020 Easy
- In \(\mathrm{S}_{\mathrm{N}} 2\) reaction, the carbon in the transition state isAP EAMCET 2023 Medium
- The equation of the circle whose diameter is the common chord of the circles \(x^2+y^2+2 x+2 y+1=0\) and \(x^2+y^2+4 x+6 y+4=0\) isAP EAMCET 2017 Hard
- Photons of frequencies equal to the frequencies of \(H_\beta\) and \(H_{\infty}\) lines of hydrogen incident on a photosensitive plate, whose threshold frequency is equal to the frequency of \(H_\alpha\) line of hydrogen. The ratio of the maximum kinetic energies of the emitted electrons isAP EAMCET 2018 Easy