TS EAMCET · Maths · Trigonometric Ratios & Identities
If \(a \tan \alpha+b \tan \beta=(a+b) \tan \left(\frac{\alpha+\beta}{2}\right)\) and \(\alpha-\beta \neq 2 n \pi\) then \(\frac{\cos \beta}{\cos \alpha}=\)
- A \(\frac{a}{b}\)
- B \(\frac{a+b}{a-b}\)
- C \(\frac{a^2-b^2}{a^2+b^2}\)
- D \(\frac{b}{a}\)
Answer & Solution
Correct Answer
(D) \(\frac{b}{a}\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \text {} \mathrm{a} \tan \alpha+\mathrm{b} \tan \beta=\mathrm{a} \tan \left(\frac{\alpha+\beta}{2}\right)+\mathrm{b} \tan \left(\frac{\alpha+\beta}{2}\right) \\ & \mathrm{a}\left(\tan \alpha-\tan \frac{\alpha+\beta}{2}\right)=\mathrm{b}\left(\tan…
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 on an average 4 customers visit a shop in an hour, then the probability that more than 2 customers visit the shop in a specific hour isTS EAMCET 2024 Hard
- The maximum interval in which the slopes of the tangents drawn to the curve \(y=x^4+5 x^3+9 x^2+6 x+2\) increase isTS EAMCET 2024 Easy
- The number of solutions of the system of equations \(2 x+y-z=7, \quad x-3 y+2 z=1\), \(x+4 y-3 z=5\) isTS EAMCET 2003 Easy
- If and then the minimum value of such isTS EAMCET 2020 Medium
- If the coefficient of \(x^r\) in the expansion of \(\left(1+x+x^2+x^3\right)^{100}\) is \(a_r\), and \(S=\sum_{r=0}^{300} a_r\) then \(\sum_{r=0}^{300} r \cdot a_r=\)TS EAMCET 2024 Easy
- If the point of intersection of the lines \(\mathbf{r}=\hat{\mathbf{i}}-6 \hat{\mathbf{j}}+(p \sec \alpha) \hat{\mathbf{k}}+t(\hat{\mathbf{i}}+2 \hat{\mathbf{j}}+\hat{\mathbf{k}})\) and \(\mathbf{r}=4 \hat{\mathbf{j}}+\hat{\mathbf{k}}+\lambda(2 \hat{\mathbf{i}}+(p \tan \alpha) \hat{\mathbf{j}}+2 \hat{\mathbf{k}})\) is \(8 \hat{\mathbf{i}}+8 \hat{\mathbf{j}}+9 \hat{\mathbf{k}}\), (where \(0 < \alpha < \frac{\pi}{2}\) ), then \(p=\)TS EAMCET 2020 Easy
More PYQs from TS EAMCET
- The differential equation for which \(l x^2+m y^2=x+y\) is the general solution isTS EAMCET 2020 Medium
- If If is continuous at thenTS EAMCET 2021 Easy
- For the following process \[ \mathrm{H}_2 \mathrm{O}(l)(1 \text { bar, } 373.15 \mathrm{~K}) \rightleftharpoons \mathrm{H}_2 \mathrm{O}(g) \] ( \(1 \mathrm{bar}, 373.15 \mathrm{~K}\) ) identify the correct set of thermodynamic parameters.TS EAMCET 2018 Easy
- Half life periods for a reaction at initial concentrations of and are and minutes, respectively. The order of reaction isTS EAMCET 2022 Hard
- Which one of the following has the highest molar conductivity?TS EAMCET 2020 Easy
- If \(A=(5,3), B=(3,-2)\) and a point \(P\) is such that the area of the triangle \(P A B\) is 9 , then the locus of \(P\) representsTS EAMCET 2017 Easy