AP EAMCET · Maths · Trigonometric Ratios & Identities
If A. B. C are the angles of a triangle, then
\(\frac{\sin A+\sin B+\sin C}{\sin ^2 \frac{A}{2}-\sin ^2 \frac{B}{2}+\sin ^2 \frac{C}{2}-1}=\)
- A \(-2 \tan \frac{B}{2}\)
- B \(-2 \cot \frac{B}{2}\)
- C \(2 \tan \frac{B}{2}\)
- D \(2 \cot \frac{B}{2}\)
Answer & Solution
Correct Answer
(B) \(-2 \cot \frac{B}{2}\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \frac{\sin A+\sin B+\sin C}{\sin ^2 \frac{A}{2}-\sin ^2 \frac{B}{2}+\sin ^2 \frac{C}{2}-1} \\ = & \frac{2 \sin \frac{A+B}{2} \cdot \cos \frac{A-B}{2}+2 \sin \frac{C}{2} \cdot \cos \frac{C}{2}}{\sin \left(\frac{A+B}{2}\right) \sin \left(\frac{A-B}{2}\right)-\cos…
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
- The partial fraction of \(\frac{x^2}{x^2+3 x-4}\) isAP EAMCET 2021 Easy
- If the probability distribution of a random variable \(X\) is given by
AP EAMCET 2018 Medium - \(\lim _{x \rightarrow \infty}\left(\frac{2+\sin x}{x^2+3}\right)\) is equal toAP EAMCET 2021 Easy
- \(\bar{a}=\bar{i}+\bar{j}-2 \bar{k}, \bar{b}=\bar{i}+2 \bar{j}-3 \bar{k}, \bar{c}=2 \bar{i}-\bar{j}+\bar{k}\) are three vectors. If \(\bar{r}\) is a vector such that \(\overline{\mathrm{r}} \cdot \overline{\mathrm{a}}=0, \overline{\mathrm{r}} \cdot \overline{\mathrm{c}}=3\) and \([\overline{\mathrm{r}} \overline{\mathrm{a}} \overline{\mathrm{b}}]=0\), then \(|\overline{\mathrm{r}}|=\)AP EAMCET 2025 Medium
- If \(\alpha, \beta, \gamma\) are the roots of the equation \(x^3-6 x^2+11 x+6=0\), then \(\Sigma \alpha^2 \beta+\Sigma \alpha \beta^2\) is equal to :AP EAMCET 2006 Easy
- If pairs of straight lines \(x^2-2 p x y-y^2=0\) and \(x^2-2 q x y-y^2=0\) be such that each pair bisects the angle between the other pair, thenAP EAMCET 2020 Medium
More PYQs from AP EAMCET
- Among the gases and , the gases that show only positive deviation from ideal behavior at all pressures in the graph are
AP EAMCET 2022 Easy - If \(a, b, c\) are distinct positive real numbers, then the value of the determinant \(\left|\begin{array}{lll}a & b & c \\ b & c & a \\ c & a & b\end{array}\right|\) isAP EAMCET 2016 Easy
- A fully loaded Boeing air craft has a mass of \(3.3 \times 10^5 \mathrm{~kg}\). Its total wing area is \(500 \mathrm{~m}^2\). It is in level flight with a speed of \(960 \mathrm{~km} / \mathrm{h}\). Estimate the pressure difference between the lower and upper surfaces of the wings.AP EAMCET 2020 Medium
- The number of distinct solutions of the equations \(x^{11}-x^7+x^4-1=0\) isAP EAMCET 2022 Medium
- The mid point of the chord \(4 x-3 y=5\) of the hyperbola \(2 x^2-3 y^2=12\) isAP EAMCET 2009 Hard
- The image of the point \(P(3,8)\) with respect to the line \(x+3 y=7\), assuming the line to be a plane mirror, is equal to .........AP EAMCET 2020 Medium