Use the fundamental identities to simplify the expression.
csc Q / sec Q
so this would be 1/sinx / 1/cosx
and then 1/sinx times cosx/1 = sin x cosx
Is this correct so far? If it is I do not know what to do next.
Whenever you post an equation involving fractions or square-roots, use parentheses to enclose the numerator, the denominator, or the square-root, whichever the case may be.
This will help you avoid ambiguities which could lead to mistakes in your calculations.
csc Q / sec Q
=(csc Q) / (sec Q)
=(1/sin Q) / (1/ cosQ)
=(1/sin Q) * cos Q
= (cos Q) / (sin Q)
= ?
Yes, you are correct so far! To further simplify the expression using the fundamental identities, you can apply the identity sin(x) * cos(x) = 1/2 * sin(2x).
Therefore, sin(x) * cos(x) can be written as 1/2 * sin(2x).
However, if you do not want to use the double angle identity, you can leave the expression as sin(x) * cos(x) since it cannot be simplified further using the fundamental identities. It is already in its simplest form.