TS EAMCET · Maths · Trigonometric Ratios & Identities
\[ \sin 6^{\circ}+\sin 54^{\circ}+\sin 126^{\circ}+\cos 156^{\circ}= \]
- A \(\frac{\sqrt{5}+1}{4}\)
- B \(\frac{\sqrt{5}-1}{4}\)
- C \(-\frac{1}{2}\)
- D \(\frac{3}{4}\)
Answer & Solution
Correct Answer
(A) \(\frac{\sqrt{5}+1}{4}\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \text { } \sin 6^{\circ}+\sin 54^{\circ}+\sin 126^{\circ}+\cos 156^{\circ} \\ & =\sin 6^{\circ}+\cos \left(90^{\circ}+66^{\circ}\right)+\sin 54^{\circ}+\sin \left(90^{\circ}+36^{\circ}\right) \\ & =\sin 6^{\circ}-\sin 66^{\circ}+\sin 54^{\circ}+\cos 36^{\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
- If the tangent drawn at a point \(P\) on the curve \(y=3 x^2-5 x+7\) is parallel to its chord joining the points \(\left(1, y_1\right)\) and \(\left(2, y_2\right)\) on it, then the \(x\)-coordinates of the point \(P\) isTS EAMCET 2019 Medium
- \(\int \frac{x^5+x}{x^8+1} d x=\)TS EAMCET 2024 Medium
- The ratio in which the line divides the line segment joining the origin and the point of intersection of the lines represented by isTS EAMCET 2019 Medium
- If \(\int \frac{\cos x+x}{1+\sin x} d x=f(x)+\int \frac{3 \cos \frac{x}{2}-\sin \frac{x}{2}}{\cos \frac{x}{2}+\sin \frac{x}{2}} d x+c_r\) then \(f(x)=\)TS EAMCET 2019 Hard
- If \(\alpha, \beta\) are the roots of the equation \(x^2-2 \sqrt{3} x+4=0\) then \(\alpha^6+\beta^6=\)TS EAMCET 2022 Easy
- The perimeter of the triangle with vertices at \((1,0,0),(0,1,0)\) and \((0,0,1)\) isTS EAMCET 2009 Easy
More PYQs from TS EAMCET
- Oxidation of cyclohexene in presence of acidic potassium permaganate leads toTS EAMCET 2017 Hard
- The value of the reactant quotient for the cell isTS EAMCET 2021 Medium
- If the family of straight lines , where is concurrent at the point , then the foot of the perpendicular drawn from to the line isTS EAMCET 2020 Medium
- The area of the region bounded by the curves \(y=9 x^2\) and \(y=5 x^2+4\) (in sq units) isTS EAMCET 2015 Easy
- Let \(A\) be the centre of the circle \(x^2+y^2-2 x-4 y-20=0\). If the tangents drawn at the point \(B(1,7)\) and \(D(4,-2)\) on the given circle meet at the point \(C\), then the area of the quadrilateral \(A B C D\) isTS EAMCET 2018 Easy
- Calculate enthalpy for formation of ethylene from the following data (I) \(\mathrm{C}_{\text {(graphite) }}+\mathrm{O}_2(\mathrm{~g}) \longrightarrow \mathrm{CO}_2(\mathrm{~g})\) \(\Delta H=393.5 \mathrm{~kJ}\) (II) \(\mathrm{H}_2(g)+\frac{1}{2} \mathrm{O}_2(g) \longrightarrow \mathrm{H}_2 \mathrm{O}(l)\); \(\Delta U=-256.2 \mathrm{~kJ}\) (III) \(\begin{array}{r}\mathrm{C}_2 \mathrm{H}_4(g)+3 \mathrm{O}_2(g) \rightarrow 2 \mathrm{CO}_2(g)+2 \mathrm{H}_2 \mathrm{O}(l) ; \ \Delta H=-1410.8 \mathrm{~kJ}\end{array}\)TS EAMCET 2007 Easy