I can't remember what formula to use for these.
Note- the X's may be replaced by a theta symbol. I just didn't have one on my keyboard.
Use the given information to find sin2X, cos2X and tan2X if 0< X <pi/2
1. sinX=12/13
2. cosX=3/5
3. tanX=2/3
2 answers
You use the double angle formulas.
To type θ, you need to type the following without the double quotes nor the spaces: "& t h e t a ;".
As Diana suggested, use the double angle formulas. I'll do the first one as an example.
sin(2θ)
=2sin(θ)cos(θ)
sin(&theta)=12/13
cos(&theta)=sqrt(1²-(12/13)²)=5/13
Therefore
sin(2θ)
=2sin(θ)cos(θ)
=2(12/13)(5/13)
=120/169
As Diana suggested, use the double angle formulas. I'll do the first one as an example.
sin(2θ)
=2sin(θ)cos(θ)
sin(&theta)=12/13
cos(&theta)=sqrt(1²-(12/13)²)=5/13
Therefore
sin(2θ)
=2sin(θ)cos(θ)
=2(12/13)(5/13)
=120/169
0 answers