TS EAMCET · Maths · Trigonometric Ratios & Identities
The value of tan 1° tan 2° tan 3° tan 89° is equal to
- A \(-1\)
- B \(2\)
- C \(\frac{\pi}{2}\)
- D \(1\)
Answer & Solution
Correct Answer
(D) \(1\)
Step-by-step Solution
Detailed explanation
\begin{align*} &\text{Given} \\ &f(x)=\begin{vmatrix} 1 & x & x & x+1 \\ 2x & x(x-1) & (x+1)x \\ 3x(x-1) & x(x-1)(x-2) & (x + 1) \cdot x(x - 1) \end{vmatrix} \\ \\ &\text{On applying } C_{3} \to C_{3} - C_{2} \text{ we get } \\ \\ &f(x)=\begin{vmatrix} 1 & x & 1 \\ 2x & x(x-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
- If the vectors \(\overline{B C}=2 \bar{i}+\bar{j}+\bar{k}\) and \(\overline{C D}=\bar{i}+2 \bar{j}-2 \bar{k}\) represent two adjacent sides of a parallelogram \(\mathrm{ABCD}\) and \(\theta\) is the angle between its diagonals \(\overline{A C}\) and \(\overline{B D}\) then \(\tan \theta=\)TS EAMCET 2023 Medium
- If the roots of the equation \(4 x^3-12 x^2+11 x+k=0\) are in arithmetic progression, then \(k\) is equal toTS EAMCET 2004 Easy
- Match the functions givenin List-I with their relevant characteristics from List-II.
The correct answer isTS EAMCET 2024 Medium - If \(\frac{k}{\alpha^3}\) is the length of the sub normal at any point \(P(\alpha, y)\) on the curve \(x^2-a^2=\frac{x^2 y^2}{a^2}\), then \(k=\)TS EAMCET 2020 Medium
- If \(\mathrm{L}_1\) is a line passing through the point \(\mathrm{P}(4,-3)\) and perpendicular to the line \(3 x-4 y+k=0\), then the distance of \(P\) from the line \(5 x-3 y-2=0\) measured along the line \(\mathrm{L}_1\) isTS EAMCET 2023 Easy
- Let \([x]\) denote the greatest integer less than or equal to \(x\) and \(f(x)=2 x-[2 x]\). If \(\lim _{x \rightarrow 2^{-}} f(x)=l_1\) and \(\lim _{x \rightarrow 2^{+}} f(x)=l_2\) then \(l_1+l_2=\)TS EAMCET 2022 Medium
More PYQs from TS EAMCET
- Two wooden blocks of masses \(M\) and \(m\) are placed on a smooth horizontal surface as shown in figure. If a force \(P\) is applied to the system as shown in figure such that the mass \(m\) remains stationary with respect to block of mass \(M\), then the magnitude of the force \(P\) is
TS EAMCET 2013 Medium - What is the time (in sec) required for depositing all the silver present in \(125 \mathrm{~mL}\) of \(1 \mathrm{M} \mathrm{AgNO}{ }_3\) solution by passing a current of \(241.25 \mathrm{~A}\) ? (1F \(=96500\) coulombs \()\)TS EAMCET 2006 Medium
- If the component of the vector \(\vec{A}\) along the vector \(\vec{B}\) is twice the component of \(\vec{B}\) along \(\vec{A}\), then the ratio of magnitudes of vectors \(\vec{A}\) and \(\vec{B}\) isTS EAMCET 2025 Medium
- A carbohydrate \((\mathrm{A})\), when treated with dilute HCl in alcoholic solution gives two isomers (B) and (C). B on reaction with bromine water gives a monocarboxylic acid ' \(Z\) ' and ' C ' is a ketohexose. What is A ?TS EAMCET 2025 Medium
- If \(2 \hat{i}+3 \hat{j}-4 \hat{k}\) and \(-\hat{i}+2 \hat{j}+\hat{k}\) are the two diagonals of a parallelogram, then the area of the parallelogram in square units isTS EAMCET 2022 Easy
- \(\vec{a}, \vec{b}, \vec{c}\) are non-coplanar vectors. If the three points \(\lambda \vec{a}-2 \vec{b}+c, 2 \vec{a}+\lambda \vec{b}-2 \vec{c}, 4 \dot{a}+7 \vec{b}-8 \vec{c}\) are collinear, then \(\lambda=\)TS EAMCET 2024 Easy