WBJEE · Maths · Trigonometric Ratios & Identities
The value of \(\frac{\cot x-\tan x}{\cot 2 x}\) is
- A 1
- B 2
- C -1
- D 4
Answer & Solution
Correct Answer
(B) 2
Step-by-step Solution
Detailed explanation
Hints: \(\frac{\cos ^2 x-\sin ^2 x}{\sin x \cos x} \times \frac{\sin 2 x}{\cos 2 x}=\frac{2 \cos 2 x}{\sin 2 x} \times \frac{\sin 2 x}{\cos 2 x}=2\)
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 point \(P\) lies on a line through \(Q(1,-2,3)\) and is parallel to the line \(\frac{x}{1}=\frac{y}{4}=\frac{z}{5},\) If \(P\) lies on the plane \(2 x+3 y-4 z+22=0,\) then segment PQ equalsWBJEE 2018 Medium
- The locus of the centre of a circle which passes through two variable points \((a, 0),(-a, 0)\) isWBJEE 2011 Medium
- The line segment joining the foci of the hyperbola \(x^{2}-y^{2}+1=0\) is one of the diameters of a circle. The equation of the circle isWBJEE 2017 Medium
- The co-ordinates of the foot of the perpendicular from \((0,0)\) upon the line \(x+y=2\) areWBJEE 2009 Medium
- Letf \(: \mathbb{R} \rightarrow \mathbb{R}\), be twice continuously differentiable (or \(f\) " exists and is continuous) such that \(f(0)=f(1)=f^{\prime}(0)=0\). ThenWBJEE 2020 Easy
- The unit vector in ZOX plane, making angles \(45^{\circ}\) and \(60^{\circ}\) respectively with \(\vec{\alpha}=2 \hat{i}+2 \hat{j}-\hat{k}\) and \(\vec{\beta}=j-\hat{k}\) isWBJEE 2020 Medium
More PYQs from WBJEE
- If \(M\) is a \(3 \times 3\) matrix such that \((0~1~2) M=(1~0~0),(3~4~5) M=(0~1~0)\), then \((6~7~8) M\) is equal toWBJEE 2021 Easy
- A point moves, so that the sum of squares of its distance from the points (1,2) and (-2,1) is always \(6 .\) Then, its locus isWBJEE 2013 Medium
- There is a group of 265 persons who like either singing or dancing or painting. In this group 200 like singing, 110 like dancing and 55 like painting. If 60 persons like both singing and dancing, 30 like both singing and painting and 10 hike all three activities, then the number of persons who like only dancing and painting isWBJEE 2014 Medium
- A sample of \(\mathrm{MgCO}_3\) is dissolved in dil. \(\mathrm{HCl}\) and the solution is neutralized with ammonia and buffered with \(\mathrm{NH} \mathrm{Cl}_4 /\) \(\mathrm{NH}_4 \mathrm{OH}\). Disodium hydrogen phosphate reagent is added to the resulting solution. A white precipitate is formed. What is the formula of the precipitate?WBJEE 2022 Hard
- An object weighs \(\mathrm{m}_1\) in a liquid of density \(\mathrm{d}_1\) and that in liquid of density \(\mathrm{d}_2\) is \(\mathrm{m}_2\). The density \(d\) of the object isWBJEE 2011 Easy
- Let \(R\) be the set of all real numbers and \(f:[-1,1] \rightarrow R\) be defined \(f(x)=\left\{\begin{array}{ll}x \sin \frac{1}{x}, & x \neq 0 \text { . Then } \\ 0, & x=0\end{array}\right.\)WBJEE 2014 Hard