AP EAMCET · Maths · Trigonometric Ratios & Identities
If \(\sin \left(5 x+\frac{\pi}{4}\right)=0\), then \(x\) is equal to
- A \(\frac{-\pi}{20}+\frac{\pi}{2} n(n \in z)\)
- B \(\frac{\pi}{20}+\frac{\pi}{5} n(n \in z)\)
- C \(\frac{-\pi}{5}+\frac{\pi}{5} n(n \in z)\)
- D \(\frac{-\pi}{20}+\frac{\pi}{5} n(n \in z)\)
Answer & Solution
Correct Answer
(D) \(\frac{-\pi}{20}+\frac{\pi}{5} n(n \in z)\)
Step-by-step Solution
Detailed explanation
\(\sin \left(5 x+\frac{\pi}{4}\right)=0=\sin n \pi(\because \sin n \pi=0)\) where \(n \in Z\) \[ \begin{array}{rlrl} \Rightarrow & & 5 x+\frac{\pi}{4} & =n \pi \\ \Rightarrow & x & =\frac{1}{5}\left(n \pi-\frac{\pi}{4}\right)=\frac{n \pi}{5}-\frac{\pi}{20} \end{array} \]
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 \(\mathrm{P}(\mathrm{X}=\mathrm{x})=\mathrm{k}\left(\frac{3}{8}\right)^{\mathrm{X}}, \mathrm{x}=1,2,3, \ldots\) is the probability distribution function of a discrete random váriable \(\mathrm{X}\), then \(\mathrm{k}=\)AP EAMCET 2023 Easy
- The locus of the point of intersection of the tangents to the circle \(x^2+y^2=a^2\) which make complimentary angles with the \(X\)-axis isAP EAMCET 2017 Hard
- The sum of the coefficients of \(x^{32}\) and \(x^{-31}\) in \(\left(x^4-\frac{1}{x^3}\right)^{15}\) is \(\left(x^4-\frac{1}{x^3}\right)^{15}\)AP EAMCET 2018 Easy
- If the sum of squares of the deviations from the mean of the data \(x_i,(i=1,2, \ldots, n)\) is \(n^2\), where \(\bar{x}\) is the mean of \(x_1\) 's, then the sum of squares of \(x_i\) 's isAP EAMCET 2023 Medium
- If and are the vertices of , then the equation of perpendicular bisector of the side isAP EAMCET 2021 Medium
- The length of the tangent drawn to the circle \(x^2+y^2-2 x+4 y-11=0\) from the point \((1,3)\) is :AP EAMCET 2006 Easy
More PYQs from AP EAMCET
- If hydrogen electrons dipped in two solutions of and are connected by a salt bridge, the emf of the resulting cell isAP EAMCET 2021 Easy
- If a line \(\mathrm{L}\) makes angles \(\frac{\pi}{3}\) and \(\frac{\pi}{4}\) with the positive \(\mathrm{X}\)-axis and positive \(\mathrm{Y}\)-axis respectively, then the angle made by \(\mathrm{L}\) with the positive direction of \(\mathrm{Z}\)-axis isAP EAMCET 2023 Easy
- The length of the chord intercepted by the circle \(x^2+y^2-6 x+8 y-5=0\) on the line \(2 x-y=5\) is equal to unitsAP EAMCET 2020 Medium
- Two wires of the same material and length but diameters in the ratio \(1: 2\) are stretched by the same force. The elastic potential energy per unit volume for the wires, when stretched by the same force will be in the ratio.AP EAMCET 2014 Easy
- The surface tension of soap solution is \(0.03 \mathrm{~N} / \mathrm{m}\). The work done in blowing to form a soap bubble of surface area \(40 \mathrm{~cm}^2\), (in J), isAP EAMCET 2008 Easy
- Match the following:
AP EAMCET 2019 Easy