MHT CET · Maths · Trigonometric Equations
If \(\tan 3 \theta=\cot \theta\) Then \(\theta=\)
- A \(\frac{(2 n+1) \pi}{8}, n \in \mathbb{Z}\)
- B \(\frac{(2 n+1) \pi}{4}, n \in \mathbb{Z}\)
- C \(\frac{(\mathrm{n}+2) \pi}{3}, \mathrm{n} \in \mathbb{Z}\)
- D \(\mathrm{n} \pi, \mathrm{n} \in \mathbb{Z}\)
Answer & Solution
Correct Answer
(A) \(\frac{(2 n+1) \pi}{8}, n \in \mathbb{Z}\)
Step-by-step Solution
Detailed explanation
\(\tan 3 \theta=\tan \left(\frac{\pi}{2}-\theta\right)\) \(3 \theta=n \pi+\frac{\pi}{2}-\theta\)
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
- Let \(O\) be the origin and let \(P Q R\) be an arbitrary triangle. The point \(S\) \(\overline{O P} \cdot \overline{O Q}+\overline{O R} \cdot \overline{O S}=\overline{O R} \cdot \overline{O P}+\overline{O Q} \cdot \overline{O S}=\) \(\overline{O Q} \overline{O Q} \cdot \overline{O R}+\overline{O P} \cdot \overline{O S}\) that \(\overline{O P} \cdot \overline{O Q}+\overline{O R} \cdot \overline{O S}=\overline{O R} \cdot \overline{O P}+\overline{O Q} \cdot \overline{O S}=\) \(\overline{O Q} \cdot \overline{O R}+\overline{O P} \cdot \overline{O S}\), then the triangle \(P Q R\) has \(S\) as itsMHT CET 2022 Medium
- The number of words that can be formed by using the letters of the word CALCULATE such that each word starts and ends with a consonant, areMHT CET 2023 Medium
- The base of an equilateral triangle is represented by the equation \(2 x-y-1=0\) and its vertex is \((1,2)\), then the length (in units) of the side of the triangle isMHT CET 2023 Medium
- General solution of the differential equation \(\log \left(\frac{d y}{d x}\right)=a x+b y\) isMHT CET 2023 Medium
- The p.d.f. of a continuous r.v. \(\mathrm{X}\) is given by \(\mathrm{f}(x)=\frac{x}{8}, 0 < x < 4\) \(=0\), otherwise, then \(\mathrm{P}(\mathrm{X} \leq 2)\) isMHT CET 2020 Easy
- If and are coterminous edges of a parallelepiped, then its volume is ________MHT CET 2019 Easy
More PYQs from MHT CET
- Equation of the chord of the circle \(x^2+y^2-4 x-10 y+25=0\) having mid-point \((1,2)\) isMHT CET 2021 Medium
- Protein gives blue colour withMHT CET 2007 Hard
- Identify catalyst used in manufacturing of HDP.MHT CET 2021 Medium
- The value of \({ }^{\prime} a\) for which the system of equations has a non-zero solution is
\(
\begin{array}{r}
a^{3} x+(a+1)^{3} y+(a+2)^{3} z=0 \\
a x+(a+1) y+(a+2) z=0 \\
x+y+z=0
\end{array}
\)MHT CET 2011 Easy - \(\int \frac{x^{2}+1}{x^{4}+x^{2}+1} d x=\)MHT CET 2020 Hard
- The acute angle between the lines given by \(y-\sqrt{3} x+1=0\) and
\(\sqrt{3} y-x+7=0\) isMHT CET 2020 Easy