Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

final exam (precalculus) score: 23/25 answered: 23/25 question 24 simpl…

Question

final exam (precalculus)
score: 23/25 answered: 23/25
question 24
simplify sin(t) cot(t) to a single trig function or constant with no fractions.

Explanation:

Step1: Recall cotangent identity

$\cot(t)=\frac{\cos(t)}{\sin(t)}$

Step2: Substitute and simplify

$\sin(t)\cot(t)=\sin(t)\times\frac{\cos(t)}{\sin(t)}=\cos(t)$

Answer:

$\cos(t)$