# Math Help - Multiplying trig functions

1. ## Multiplying trig functions

I need to find out "t" in the following

sin^4 (t) * sec (t) = 1-[x^2/2*r^2]

How do I multiply this and find the value of t?

2. Originally Posted by DvdHntr
I need to find out "t" in the following

sin^4 (t) * sec (t) = 1-[x^2/2*r^2]

How do I multiply this and find the value of t?

$
sin^4 (t) sec (t) = 1-\frac{x^2}{2r^2}
$

3. r is a constant (radius) and yes that is the equation.

4. not sure how you can find the value of t
unless x and r are first given values

5. x and r do not need to be given, the OP has to use trig identities such as $\sec(t) = \frac{1}{\cos(t)}$ on the LHS to reduce the number of times t appears.

6. Then I am left with:

sin^4 (t) / cos (t) which is where I came from.