Question

Use basic identities to simplify the expression.
sin θ cos θ sec θ csc θ

Answer 1

sin x cos x sec x csc x

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

= 1 x 1

= 1

Hope this helps

Answer 2

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