SOLUTION: use common trigonometric identities for the functions given to find the indicated trigonometric functions. Pleas show all work give answers in exact form no decimals. If sin 30

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Question 143492: use common trigonometric identities for the functions given to find the indicated trigonometric functions. Pleas show all work give answers in exact form no decimals.
If sin 30 degrees=1/2 and cos30 degrees =sqr root 3/2 what are the values of
tan30degrees
csc30degrees
cot30degrees

Answer by nabla(475)   (Show Source): You can put this solution on YOUR website!
sin(π/6)=1/2
cos(π/6)=sqrt(3)/2
You could easily solve this problem by memorizing the unit circle and the trig values for various angles, without the two above givens.
a. tan(π/6)=sin(π/6)/cos(π/6)=(1/2)/(sqrt(3)/2)=sqrt(3)/3
b. csc(π/6)=1/sin(π/6)=1/(1/2)=2
c. cot(π/6)=cos(π/6)/sin(π/6)=(sqrt(3)/2)/(1/2)=sqrt(3)

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