TS EAMCET · Maths · Trigonometric Ratios & Identities
If \(\tan 20^{\circ}=\lambda\), then \[ \frac{\tan 160^{\circ}-\tan 110^{\circ}}{1+\left(\tan 160^{\circ}\right)\left(\tan 110^{\circ}\right)}= \]
- A \(\frac{1+\lambda^2}{2 \lambda}\)
- B \(\frac{1+\lambda^2}{\lambda}\)
- C \(\frac{1-\lambda^2}{\lambda}\)
- D \(\frac{1-\lambda^2}{2 \lambda}\)
Answer & Solution
Correct Answer
(D) \(\frac{1-\lambda^2}{2 \lambda}\)
Step-by-step Solution
Detailed explanation
Given, \(\tan 20^{\circ}=\lambda\)…
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
- A three digit number \(n\) is such that the last two digits of it are equal and differ from the first. The number of such \(n\) 's isTS EAMCET 2005 Easy
- If a variable line is moving such that the intercepts made by it on the coordinate axes are reciprocal to each other, then the points \(P(x, y)\) on such lines satisfyTS EAMCET 2020 Medium
- The coefficient of \(x y^2 z^3\) in the expansion of \((x-2 y+3 z)^6\) isTS EAMCET 2024 Medium
- \(2 \hat{i}-3 \hat{j}+\hat{k}\) and \(\hat{i}+2 \hat{j}-3 \hat{k}\) are the position vectors of two points \(A\) and \(B\) respectively and \(C\) divides \(A B\) in the ratio \(3: 2\). If \(3 \hat{i}-\hat{j}+2 \hat{k}\) is the position vector of a point \(D\), then the unit vector in the direction of \(\overrightarrow{C D}\) isTS EAMCET 2024 Medium
- If the slope of a straight line passing through \(\mathrm{A}(3,2)\) is \(3 / 4\), then the coordinates of the two points on the same line that are 5 units away from \(A\) areTS EAMCET 2023 Easy
- \(\lim _{x \rightarrow 0} \frac{\sqrt{1+x^2}-\sqrt{1-x+x^2}}{3^x-1}\) is equal toTS EAMCET 2014 Medium
More PYQs from TS EAMCET
- An ellipse \(\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\) with eccentricity \(\frac{2 \sqrt{2}}{3}\) is inscribed in a circle \(x^2+y^2=18\) such that the length of its major axis is equal to the diameter of this circle. The locus of the poles of all the tangents of the circle with respect to the ellipse isTS EAMCET 2020 Hard
- Which one of the following compounds undergoes Hoffmann degradation reaction?TS EAMCET 2020 Easy
- If A and B are two square matrices of the same order and \((\mathrm{AB}+\mathrm{BA})^{\mathrm{T}}+(\mathrm{AB}-\mathrm{BA})^{\mathrm{T}}=2 \mathrm{BA}\) thenTS EAMCET 2023 Medium
- The general solution of the differential equation \(\frac{d y}{d x}+\frac{y}{x}=x^2\) isTS EAMCET 2023 Easy
- What is the major product Z in the given reaction sequence?
\(\left(\mathrm{CH}_3\right)_2 \mathrm{C}=\mathrm{O} \xrightarrow[\text { (2) } \mathrm{H}_3 \mathrm{O}^{+}]{(\mathrm{l}) \mathrm{C}_2 \mathrm{H}_3 \mathrm{MgBr}^{+}} \mathrm{X}\) i) \(\mathrm{SOCl}_2 \xrightarrow[\Delta]{\text { ii) } \mathrm{CH}_3 \mathrm{ONa}} Y \xrightarrow[\text { Peroxide }]{\mathrm{HBr}} Z\)TS EAMCET 2024 Hard - If the two circles \(x^2+y^2-2 x-6 y+10-r^2=0\) and \(x^2+y^2-8 x+2 y+8=0\) have a common chord of non-zero length, thenTS EAMCET 2021 Medium