QuestionOctober 22, 2026

Simplify to a . single trig function with no denominator. (sin^2Theta )/(tan^2)Theta Answer Attempt 1 out of 2 Answer: square

Simplify to a . single trig function with no denominator. (sin^2Theta )/(tan^2)Theta Answer Attempt 1 out of 2 Answer: square
Simplify to a . single trig function with no denominator. (sin^2Theta )/(tan^2)Theta Answer Attempt 1 out of 2 Answer: square

Solution
4.0(301 votes)

Answer

\cos^2 \Theta Explanation 1. Express \tan^2 \Theta in terms of \sin \Theta and \cos \Theta \tan^2 \Theta = \frac{\sin^2 \Theta}{\cos^2 \Theta}. 2. Substitute \tan^2 \Theta in the expression \frac{\sin^2 \Theta}{\tan^2 \Theta} = \frac{\sin^2 \Theta}{\frac{\sin^2 \Theta}{\cos^2 \Theta}}. 3. Simplify the expression \frac{\sin^2 \Theta}{\frac{\sin^2 \Theta}{\cos^2 \Theta}} = \cos^2 \Theta.

Explanation

1. Express $\tan^2 \Theta$ in terms of $\sin \Theta$ and $\cos \Theta$<br /> $\tan^2 \Theta = \frac{\sin^2 \Theta}{\cos^2 \Theta}$.<br />2. Substitute $\tan^2 \Theta$ in the expression<br /> $\frac{\sin^2 \Theta}{\tan^2 \Theta} = \frac{\sin^2 \Theta}{\frac{\sin^2 \Theta}{\cos^2 \Theta}}$.<br />3. Simplify the expression<br /> $\frac{\sin^2 \Theta}{\frac{\sin^2 \Theta}{\cos^2 \Theta}} = \cos^2 \Theta$.
Click to rate:

Similar Questions