2 (cos^2 (2 t) + sin^2 (2 t))

I do not remember where to go next to simplify but I am trying for cos^2+sin^2=1

Question

2 (cos^2 (2 t) + sin^2 (2 t))

I do not remember where to go next to simplify but I am trying for cos^2+sin^2=1

anonymous · Answer

or i mean to ask what role does 2t take on

anonymous · Answer

should i just use double angle?

anonymous · Answer

i mean power reducing...

anonymous · Answer

imagine 2t as x, it's the angle;

so cos^2 (x) + sin^2(x) = 1,

then 2(1) = 2 

^_^

anonymous · Answer

i did the power reducing and got same thing, but thanks for that tip!

anonymous · Answer

lol, np :)

anonymous · Answer

I believe you do have to use the double angle formula.

anonymous · Answer

Use double angle formula since you cant really use (sinx)^2+(cosx)^2=1 on this example.

nowhereman · Answer

That is nonsense! Of course you can use$$\sin^2 x + \cos^2 x = 1$$ because you can plug in x = 2t without a problem.

anonymous · Answer

why do you need the double angle formula? that makes stuff so complicated, we already know that cos^2(x) + sin^2(x) = 1

x acts as an angle and it can be anything, 2t, w, z, c whateva form, it's still an angle

anonymous · Answer

true dat

anonymous · Answer

hmm... interesting

anonymous · Answer

write it down on paper and you'll see what I mean @rg ^_^

anonymous · Answer

yes, she is so right, I mean, every time I write it down on paper everything looks much more understandable, dont try to do everything in your head, unless ofcourse, you are doing maths just to increase your brains processing power... anyway.. it is a good idea to write it down...

anonymous · Answer

lol andy ^_^