# Multiplying trig functions

• January 7th 2010, 12:36 PM
DvdHntr
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?
• January 7th 2010, 12:46 PM
bigwave
Quote:

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}
$
• January 7th 2010, 12:48 PM
DvdHntr
r is a constant (radius) and yes that is the equation.
• January 7th 2010, 01:04 PM
bigwave
not sure how you can find the value of t
unless x and r are first given values
• January 7th 2010, 01:09 PM
pickslides
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.
• January 7th 2010, 01:12 PM
DvdHntr
Then I am left with:

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