Answered

Use basic identities to simplify the expression.

sin θ cos θ sec θ csc θ

Verified Answer :

sin x cos x sec x csc x

= (sin x csc x) (cos x sec x)

= 1 x 1

= 1

Hope this helps

Answer:

The simplified solution is 1

Step-by-step explanation:

We need to solve the given trigonometric identity ;

\(\sin\theta \cos \theta \sec \theta cosec \theta\)

Since, \(cosec \theta =\frac{1}{\sin \theta}\) and \(sec \theta =\frac{1}{\cos \theta}\)

\(\sin \theta \cos \theta \frac{1}{\cos \theta} \frac{1}{\sin \theta}\)

\(\sin \theta \frac{1}{\sin \theta} \cos \theta \frac{1}{\cos \theta}\)

\(1\times 1\)

\(1\)

Therefore, the simplified solution is 1

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