AP EAMCET · Maths · Trigonometric Ratios & Identities
If \(\theta\) lies in third quadrant and \(\cos \theta=\frac{-3}{5}\) find the value of \(\tan \theta\).
- A \(\frac{2}{3}\)
- B \(\frac{-2}{3}\)
- C \(\frac{-4}{3}\)
- D \(\frac{4}{3}\)
Answer & Solution
Correct Answer
(D) \(\frac{4}{3}\)
Step-by-step Solution
Detailed explanation
It is given that \(\theta\) lies in third quadrant and \(\cos \theta=-\frac{3}{5}\) So, \(\tan \theta=\frac{4}{3}\) Hence, option (d) is correct.
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
- Equation of the line passing through the intersection of the plane \(x+2 y+3 z=4\) and the line \(\frac{x-1}{2}=\frac{y+1}{1}=\frac{z-1}{-1}\) and parallel to the vector \((2 \hat{\mathbf{i}}-3 \hat{\mathbf{j}}) \times(\hat{\mathbf{i}}+2 \hat{\mathbf{j}}-\hat{\mathbf{k}})\) isAP EAMCET 2020 Medium
- A bag contains 5 black balls, 4 white balls and 3 red balls. If a ball is selected at random, the probability that it is a black or a red ball, isAP EAMCET 2002 Medium
- The value of \(\sqrt{42+\sqrt{42+\sqrt{42+\ldots \ldots .}}}\) is equalAP EAMCET 2004 Easy
- Point \((-1,2)\) is changed to \((\mathrm{a}, \mathrm{b})\) when the origin is shifted to the point \((2,-1)\) by translation of axes, Point \((a, b)\) is changed to \((c, d)\) when the axes are rotated through an angle of \(45^{\circ}\) about the new origin. \((c, d)\) is changed to ( \(e\), \(f)\) when \((c, d)\) is reflected through \(y=x\). Then \((e, f)=\)AP EAMCET 2024 Medium
- If \(f: \mathbb{R}-\{0\} \rightarrow \mathbb{R}\) is defined by \(f(x)=x+\frac{1}{x}\) and if \(f^k(x)=[f(x)]^k\) for \(k \geq 1\) then \(f^4(x)-f\left(x^4\right)-4 f^2(x)=\)AP EAMCET 2017 Medium
- If \(A=\left[\begin{array}{cc}0 & -1 \\ 1 & 0\end{array}\right]\), then the incorrect option among the following isAP EAMCET 2018 Easy
More PYQs from AP EAMCET
- If the origin is the centroid of the triangle for which \((-2,3,4)\) and \((3,-1,5)\) are two vertices, then the third vertex isAP EAMCET 2021 Easy
- An \(L-C\) circuit contains \(196 \mathrm{pF}\) capacitor and a \(441 \mu \mathrm{H}\) inductor. The frequency of electromagnetic radiation emitted by antenna coupled to the \(L-C\) circuit isAP EAMCET 2021 Medium
- The distance between the focii of the ellipse \(x=3 \cos \theta\), \(y=4 \sin \theta\) isAP EAMCET 2016 Easy
- If \(\theta\) is the angle made by the normal drawn to the curve \(\mathrm{x}=\mathrm{e}^{\mathrm{t}} \cos \mathrm{t}, \mathrm{y}=\mathrm{e}^{\mathrm{t}} \sin \mathrm{t}\) at the point \((1,0)\), with the \(\mathrm{X}\)-axis, then \(\theta=\)AP EAMCET 2023 Medium
- If the sum of the distances from a variable point to the given points and is , then the locus of isAP EAMCET 2019 Medium
- For \(|x| < 1\), the constant term in the expansion of \(\frac{1}{(x-1)^2(x-2)}\) isAP EAMCET 2009 Medium