write the expression in terms of sine and cosine, and simplify so that no quotients appear in the final…

write the expression in terms of sine and cosine, and simplify so that no quotients appear in the final expression and all functions are of θ only. sin θ sec θ cot θ sin θ sec θ cot θ =

write the expression in terms of sine and cosine, and simplify so that no quotients appear in the final expression and all functions are of θ only. sin θ sec θ cot θ sin θ sec θ cot θ =

Answer

Explanation:

Step1: Substitute trigonometric identities

We know that (\sec\theta=\frac{1}{\cos\theta}) and (\cot\theta = \frac{\cos\theta}{\sin\theta}). So, (\sin\theta\sec\theta\cot\theta=\sin\theta\times\frac{1}{\cos\theta}\times\frac{\cos\theta}{\sin\theta})

Step2: Simplify the expression

Cancel out the common terms (\sin\theta) and (\cos\theta) in the numerator and denominator. (\sin\theta\times\frac{1}{\cos\theta}\times\frac{\cos\theta}{\sin\theta}=1)

Answer:

(1)