SOLUTION: HELLO! I need help! Match each trig function with its correct value if θ is an acute angle and cscθ = 2 1/2 1. sqroot 21/5 2. sqroot 21/2 3. 5sqroot21/21 4. 2/5

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Question 891554: HELLO! I need help!
Match each trig function with its correct value if θ is an acute angle and cscθ = 2 1/2
1. sqroot 21/5
2. sqroot 21/2
3. 5sqroot21/21
4. 2/5
5. 2sqroot21/21

a. sinx
b. cotx
c. cosx
d. tanx
3. secx

Answer by Edwin McCravy(20081)   (Show Source): You can put this solution on YOUR website!


Change  to an improper fraction:



Since  we draw a right
triangle with an angle  with a hypotenuse of 5, which is 
the same as the numerator of the fraction , and with 
a side opposite angle  of 2, which is the denominator
of the fraction .



[You don't have to be accurate with your drawing, just any sketch of
a right triangle will do.]

Next we use the Pythagorean theorem to calculate the adjacent side
to angle :











So we label the adjacent side as 













Edwin

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