Prove that \( \tan ^{-1}\left(\frac{\cos x}{1+\sin x}\right)=\frac{\pi}{4}-\frac{x}{2}, x \in\le...

Channel:
PW Solutions
Subscribers:
451,000
Published on ● Video Link: https://www.youtube.com/watch?v=A2dPf0zID4Y


Duration: 4:15
8 views
0

Prove that \( \tan ^{-1}\left(\frac{\cos x}{1+\sin x}\right)=\frac{\pi}{4}-\frac{x}{2}, x \in\left(-\frac{\pi}{2}, \frac{\pi}{2}\right) \).
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live



Other Videos By PW Solutions


2023-05-16When a ray of light strikes a plane mirror at an angle of \(15^{\circ}\) with the mirror, what w...
2023-05-16If \( |\mathrm{x}-1|+|\mathrm{x}-3|=\mathrm{k} \) then which of the following is/are correct?
2023-05-16The boiling point of an aqueous solution of a non volatile solute is \( 100.15{ }^{\circ} \mathr...
2023-05-16A bus is moving with a velocity \( 10 \mathrm{~ms}^{-1} \) on a straight road. A scooterist wish...
2023-05-16Write the minor and co-factor of each element of following matrix \( A \) and evaluate the deter...
2023-05-16Which aqueous solution has minimum freezing point?
2023-05-16A quantity of \( 27.6 \mathrm{~g} \) of \( \mathrm{K}_{2} \mathrm{CO}_{3} \) was treated by a se...
2023-05-16Two similarly and equally charged identical metal spheres \( A \) and \( B \) repel each other w...
2023-05-16(i) \( \mathrm{H}_{2} \mathrm{O}_{2}+\mathrm{O}_{3} \longrightarrow \mathrm{H}_{2} \mathrm{O}+2 ...
2023-05-16The region between two concentric spheres of radii a and \( b \) , respectively (see figure), ha...
2023-05-16Prove that \( \tan ^{-1}\left(\frac{\cos x}{1+\sin x}\right)=\frac{\pi}{4}-\frac{x}{2}, x \in\le...
2023-05-16Correct graph of \( 3 x+3 y+1=0 \) is:
2023-05-16Normality of \( 10 \%(\mathrm{w} \backslash \mathrm{V}) \mathrm{H}_{2} \mathrm{SO}_{4} \) soluti...
2023-05-16The electric field in a region is radially outward and at a point is given by \( E=250 r \mathrm...
2023-05-16\( y=2 t(3-t) \) then find \( \frac{d y}{d t} \).
2023-05-16A body is in pure rotation. The linear speed \( v \) of a particle, the distance \( r \) of the ...
2023-05-16For the reaction, \[\mathrm{N}_{2} \mathrm{O}_{5} \rightarrow 2 \mathrm{NO}_{2}+\frac{1}{2} \mat...
2023-05-16Two identically charged particles are fastened to the two endsl of a spring of spring constant \...
2023-05-16Two point charges \( -\mathrm{q} \) and \( \frac{\mathrm{q}}{2} \) are situated at the origin an...
2023-05-16\( \int 2 \sin x \cos x d x \) is equal to
2023-05-16Two metal spheres, one of radius \( \mathrm{R} \) and the other of radius \( 2 \mathrm{R} \) res...