SOLUTION: Determine the exact values of each expression for the given value of θ.
Note: Your answers must be in EXACT form. They cannot contain decimals. If an answer involves a squa
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Question 966018: Determine the exact values of each expression for the given value of θ.
Note: Your answers must be in EXACT form. They cannot contain decimals. If an answer involves a square root, write it as sqrt . For instance, the square root of 2 should be written as sqrt(2).
If θ=π/3, then tan(2θ)=
If θ=π/8, then cot(2θ)=
If θ=π/2, then sec(θ/2)=
If θ=5π/2, then csc(θ/2)=
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Determine the exact values of each expression for the given value of θ.
Note: Your answers must be in EXACT form. They cannot contain decimals. If an answer involves a square root, write it as sqrt . For instance, the square root of 2 should be written as sqrt(2).
If θ=π/3, then tan(2θ)=
If θ=π/8, then cot(2θ)=
If θ=π/2, then sec(θ/2)=
If θ=5π/2, then csc(θ/2)=
**
use x for theta
x=pi/3
tan(2x)=tan(2pi/3)=-
..
x=pi/8
cot(2x)=cot(pi/4)=1
..
x=pi/2
cos(x/2)=sin((pi/2)/2)==1/√2
sec(x/2)=1/cos(x/2)=√2
..
x=5pi/2
sin(x/2)=sin((5pi/2)/2)==1/√2
csc(x/2)=1/sin(x/2)=√2
note:
cos(pi/2)=0
cos(5pi/2)=0
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