Question

$sec \theta cot \theta sin \theta$
options:
1
$csc \theta$
$sin \theta$
-1

Explanation:

Step1: Rewrite in reciprocal/quotient forms

$\sec\theta = \frac{1}{\cos\theta}$, $\cot\theta = \frac{\cos\theta}{\sin\theta}$
Substitute into the expression:
$\frac{1}{\cos\theta} \cdot \frac{\cos\theta}{\sin\theta} \cdot \sin\theta$

Step2: Multiply and cancel terms

Multiply numerators: $1 \cdot \cos\theta \cdot \sin\theta$
Multiply denominators: $\cos\theta \cdot \sin\theta$
Cancel $\cos\theta$ and $\sin\theta$ from numerator/denominator:
$\frac{\cos\theta \sin\theta}{\cos\theta \sin\theta} = 1$

Answer:

1