Find an expression equivalent to sec theta tan theta/ sin theta.

secØ tanØ / sinØ

= (1/cosØ)(sinØ/cosØ)(1/sinØ)
= 1/cos^2 Ø or sec^2 Ø

Sure, here's an equivalent expression for sec(theta) tan(theta) / sin(theta):

Why did the mathematician bring a ladder to the beach?
Because he wanted to find the sine!

But in all seriousness, the expression can be simplified as follows:
sec(theta) * tan(theta) / sin(theta) can be rewritten as:
(1/cos(theta)) * (sin(theta)/cos(theta)) / (sin(theta))
Simplifying further:
1/cos^2(theta)

So, an equivalent expression is 1/cos^2(theta). Hope that helps!

To find an expression equivalent to sec(theta) * tan(theta) / sin(theta), we can manipulate the expression using trigonometric identities.

We know that sec(theta) is equal to 1/cos(theta) and tan(theta) is equal to sin(theta) / cos(theta).

Let's substitute these values into the expression:

sec(theta) * tan(theta) / sin(theta) = (1 / cos(theta)) * (sin(theta) / cos(theta)) / sin(theta)

Now, we can simplify the expression by canceling out common terms in the numerator and denominator:

= (sin(theta) / (cos(theta) * cos(theta))) / sin(theta)

Since sin(theta) / sin(theta) equals 1, we can simplify the expression even further:

= 1 / (cos(theta) * cos(theta))

Therefore, an expression equivalent to sec(theta) * tan(theta) / sin(theta) is 1 / (cos(theta) * cos(theta)).

To find an expression equivalent to sec(theta) tan(theta) / sin(theta), we can start by simplifying each term separately.

1. Simplifying sec(theta):
Recall that sec(theta) is the reciprocal of cos(theta). So, sec(theta) = 1 / cos(theta).

2. Simplifying tan(theta):
Tan(theta) is equal to sin(theta) / cos(theta).

Now, substitute the simplified forms into the original expression:

(sec(theta) * tan(theta)) / sin(theta)
= ([1 / cos(theta)] * [sin(theta) / cos(theta)]) / sin(theta)
= (sin(theta) / [cos(theta) * cos(theta)]) / sin(theta)
= sin(theta) / ([cos(theta)]^2 * sin(theta)).

Now, we can cancel out the sin(theta) in the numerator and the denominator:

= 1 / [cos(theta)]^2.

Therefore, an expression equivalent to sec(theta) * tan(theta) / sin(theta) is 1 / [cos(theta)]^2.

2tanx