Consider the equations \[ \begin{array}{l} 5 \sin ^{2} x+3 \sin x \cos x-3 \cos ^{2} x=2 \\ \sin...

Channel:
Subscribers:
443,000
Published on ● Video Link: https://www.youtube.com/watch?v=EE9QHKdROpA



Duration: 6:34
2 views
0


Consider the equations
\[
\begin{array}{l}
5 \sin ^{2} x+3 \sin x \cos x-3 \cos ^{2} x=2 \\
\sin ^{2} x-\cos 2 x=2-\sin 2 x
\end{array}
\]
The number of solutions common to (1) and (2) is
(a) 0
(b) 1
(c) finite
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2022-11-19Let \( E \) be the ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1, ab \) and \( C \) be th...
2022-11-19The period of the function Column 1 Column 2 (a) \( \sin 2 \theta-\sqrt{3} \cos 2 \theta \) (p) ...
2022-11-19Let \( I=\int \frac{4 x^{5}+5 x^{4}}{\left(x^{5}+x+1\right)^{2}} d x \), then \( I \) is equal t...
2022-11-19Let \( I=\int \frac{x^{2}}{\left(1+x^{2}\right)\left(1+\sqrt{1+x^{2}}\right)} d x \) is equal to...
2022-11-19\( \cos 5 \theta=0 \) if \( 64 \cos ^{4} \theta-80 \cos ^{2} \theta+25 \) is equal to
2022-11-19Let \( I=\int \frac{10}{(5-x)^{2}}\left(\frac{5-x}{5+x}\right)^{3 / 4} d x \), then \( I \) is e...
2022-11-19Let \( I=\int \frac{\sin ^{2} x}{1+\cos ^{2} x} d x \) (a) \( \frac{1}{\sqrt{2}} \tan ^{-1}(\sqr...
2022-11-19In an ellipse, if the lines joining a focus to the extremities of the minor axis make an equilat...
2022-11-19Let \( I=\int \frac{d x}{x \sqrt{x^{6}+1}} \), then (a) \( I=\frac{1}{3} \ln \left|\frac{\sqrt{x...
2022-11-19Column 1 Column 2 (a) \( 2 \cos ^{2} x+4 \cos x \) (p) \( \sin x=1 / 2 \) \( =3 \sin ^{2} x \) (...
2022-11-19Consider the equations \[ \begin{array}{l} 5 \sin ^{2} x+3 \sin x \cos x-3 \cos ^{2} x=2 \\ \sin...
2022-11-19If \( 3 \tan 2 x-4 \tan 3 x=\tan ^{2} 3 x \tan 2 x \) then \( \tan 3 x+3 \tan x+3 \) is equal to
2022-11-19If \( x_{i}0 \) for \( 1 \leq i \leq n \) and \( x_{1}+x_{2}+\ldots+x_{n}=\pi \) then the greate...
2022-11-19A child arranges 3 distinct black balls, four green balls, and five red balls in a row randomly....
2022-11-19Two numbers \( x \) and \( y \) are chosen at random from the numbers from the set \( \{1,2,3, \...
2022-11-19A bag contains \( n+1 \) coins. It is known that one of these coins shows heads on both sides, w...
2022-11-19Suppose \( X \sim B(n, p) \) and \( P(X=3)=P(X=5) \). If \( p \) \( 1 / 2 \), then (a) \( n \leq...
2022-11-19The probability that an electric bulb will last 150 days or more is \( 0.7 \) and that it will l...
2022-11-19Let \( a_{1} \neq 0 \) and \( A_{1}, B_{1}, C_{1} \ldots \) be respectively the cofactors of the...
2022-11-19A bag contains 4 brown and 5 white socks. A man pulls two socks at random without replacement. T...
2022-11-19The probability that an event \( A \) occurrs in a single trial of an experiment is \( 0.6 \). T...



Tags:
pw