i need to find the solution for the following:
22: cos2 (x(sec2 (x) -1))
23: sec4 (x) - tan4 (x)
24: cot (x sec(x))
25:(sec2 (x) -1)/sin2 (x)
26:cos2 ((pi/20) - x)/cos(x)
I am completely lost please show me how to solve these kinds of problems.
Hi,
Firstly you cannot get a solution becasue there is no equal sign.
All you can do it try to simplify them :)
I am confused about what the actual questions are.
I assume there are a number of powers here.
23: sec4 (x) - tan4 (x)
I assume
\(sec^4 (x) - tan^4 (x)\\ \qquad \text{Difference of 2 squares}\\ =(sec^2 (x) + tan^2 (x))(sec^2 (x) - tan^2 (x))\\ \qquad sec^2x=\frac{1}{cos^2x}=\frac{sin^2x+cos^2x}{cos^2} =tan^2x+1 \\ =(1+tan^2(x) + tan^2 (x))(1+tan^2x- tan^2 (x))\\ =1+2tan^2(x) \\ \)