AP EAMCET · Maths · Trigonometric Ratios & Identities
\(\sin ^2 5^{\circ}+\sin ^2 10^{\circ}+\sin ^2 15^{\circ}+\ldots+\sin ^2 90^{\circ}\) is equal to
- A \(8 \frac{1}{2}\)
- B \(9\)
- C \(9 \frac{1}{2}\)
- D \(4 \frac{1}{2}\)
Answer & Solution
Correct Answer
(C) \(9 \frac{1}{2}\)
Step-by-step Solution
Detailed explanation
\(\sin ^2 5^{\circ}+\sin ^2 10^{\circ}+\sin ^2 15^{\circ}+\ldots+\sin ^2 90^{\circ}\)…
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
- \(\begin{aligned} & \frac{x^2+x+1}{(x-1)(x-2)(x-3)}=\frac{A}{x-1}+\frac{B}{x-2}+\frac{C}{x-3} \\ & \Rightarrow A+C=\end{aligned}\)AP EAMCET 2011 Medium
- \(A=\left[\begin{array}{rr}i & -i \\ -i & i\end{array}\right], B=\left[\begin{array}{rr}1 & -1 \\ -1 & 1\end{array}\right] \Rightarrow A^8\)AP EAMCET 2012 Medium
- If \(|z-3 i|+|z+5 i|=4\), then the locus of \(z\) isAP EAMCET 2022 Medium
- If \(I_1=\int_0^{\pi / 2} \frac{x}{\sin x} d x\), and \(I_2=\int_0^1 \frac{\tan ^{-1} x}{x} d x\), then \(I_1: I_2\) isAP EAMCET 2020 Medium
- The coefficient of \(x^3 y^4 z^5\) in the expansion of \((x y+y z+x z)^6\) isAP EAMCET 2005 Medium
- The locus of mid-points of points of intersection of \(x \cos \theta+y \sin \theta=1\) with the coordinate axes isAP EAMCET 2022 Easy
More PYQs from AP EAMCET
- If \(\mathrm{C}_0, \mathrm{C}_1, \mathrm{C}_2, \ldots, \mathrm{C}_{\mathrm{n}}\) are the binomial coefficients in the expansion of \((1+\mathrm{x})^{\mathrm{n}}\), then \(\left(\mathrm{C}_0+\mathrm{C}_1\right)-\left(\mathrm{C}_2+\mathrm{C}_3\right)+\left(\mathrm{C}_4+\mathrm{C}_5\right)-\left(\mathrm{C}_6+\mathrm{C}_7\right)+\ldots=\)AP EAMCET 2025 Medium
- The standard Gibb's energy \(\left(\Delta G^{\circ}\right)\) for the following reaction is
\(\begin{aligned} & A(s)+B^{2+}(a q) \rightleftharpoons A^{2+}(a q)+B(s), \\ & K_C=10^{12} \text { at } 25^{\circ} \mathrm{C}\left(K_C=\text { equilibrium constant }\right)\end{aligned}\)AP EAMCET 2022 Medium - The specific heat capacity of a monatomic gas at constant volume is \(\mathrm{x} \%\) of its specific heat capacity at constant pressure. Then \(x=\)AP EAMCET 2023 Easy
- If the function \(f(x)=\sqrt{x^2-4}\) satisfies the Lagrange's mean value theorem on \([2,4]\), then the value of C isAP EAMCET 2024 Easy
- If the uncertainty in velocity of electron \((\Delta \mathrm{v})\) is \(0.1 \mathrm{~m} / \mathrm{s}\), the uncertainty in its position \((\Delta x)\) is
(given: \(m_e=9.1 \times 10^{-31} \mathrm{~kg}\) )AP EAMCET 2023 Medium - Let \(A\) be a \(2 \times 2\) matrix with real entries. Let \(I\) be the \(2 \times 2\) identity matrix. \(\operatorname{Tr}(A)\) denotes the sum of diagonal entries of \(A\). Assume that \(A^2=I\)
Statement I If \(A \neq I\) and \(A \neq-1\), then \(\operatorname{det} A=-1\)
Statement II If \(A \neq I\) and \(A \neq-1\), then \(\operatorname{Tr} A \neq 0\)AP EAMCET 2021 Easy