Question

assignment 9.1: trigonometric identities
score: 4/20 answered: 4/16
question 5
simplify \\( \frac{\cos ^{2}(t)}{\sin ^{2}(t)+\cos ^{2}(t)} \\) to an expression involving a single trig function with no fractions.
if needed, enter squared trigonometric expressions using the following notation.
example: enter \\( \sin ^{2}(t) \\) as \\( (\sin (t))^{2} \\).
question help: video message instructor

Explanation:

Step1: Use Pythagorean identity

We know that \(\sin^{2}(t)+\cos^{2}(t) = 1\) (Pythagorean identity). So the given expression \(\frac{\cos^{2}(t)}{\sin^{2}(t)+\cos^{2}(t)}\) becomes \(\frac{\cos^{2}(t)}{1}\).

Answer:

\(\cos^{2}(t)\)