Verify the following identity. The equation shown is:\[ 2\cos^2 \theta \left( \csc^2 \theta + 3\sec^2 \theta \right) = 2\csc^2 \theta + 4 \]This mathematical expression involves several trigonometric functions:- \(\cos^2 \theta\) is the square of the cosine of angle \(\theta\).- \(\csc^2 \theta\) is the square of the cosecant of angle \(\theta\), which is the reciprocal of \(\sin^2 \theta\).- \(\sec^2 \theta\) is the square of the secant of angle \(\theta\), which is the reciprocal of \(\cos^2 \theta\).The equation involves multiplying \(2 \cos^2 \theta\) by the sum of \(\csc^2 \theta\) and \(3 \sec^2 \theta\), and equating it to \(2 \csc^2 \theta + 4\). The arrangement and use of reciprocal trigonometric functions make this a noteworthy example to use in transformations and solving trigonometric identities or equations.

Name: Verify the following identity. The equation shown is:\[ 2\cos^2 \theta
Uploaded: 2024-03-20T06:46:55.000Z
Channel: Bartleby
Description: Verify the following identity. The equation shown is:\[ 2\cos^2 \theta \left( \csc^2 \theta + 3\sec^2 \theta \right) = 2\csc^2 \theta + 4 \]This mathematical expression involves several trigonometric functions:- \(\cos^2 \theta\) is the square of the