Calculate the sine, cosine, and tangent for each of the following angles. a. 30° b. 80° c. 15°

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lemjay's profile pic

lemjay | High School Teacher | (Level 3) Senior Educator

Posted on

To determine sine, cosine and tangent of the given angles, refer to the Unit Circle Chart.

(a)  `30^o`

     `sin 30^o = 1/2`

     `cos 30^o = sqrt3/2`  

   `tan 30^o = (sin 30^o)/(cos 30^o) = (1/2)/(sqrt3/2)=1/sqrt3 = sqrt3/3`

(Note for (b) and (c), please repost it as seperate questions.)

Sources:
purpleswimmergirl2's profile pic

purpleswimmergirl2 | Student, Grade 9 | (Level 1) eNoter

Posted on

a.  30 degrees: sine = 1/2 , cosine = square root 3 over 2 , tangent = square root 3 over 3

 

b. 80 degrees: sine = 0.984807753 , cosine = 0.1736481777 , tangent = 5.67128182

 

c.  15 degrees: sine = square root 6 minus square root 2 over 4 , cosine = square root 6 + square root 2 over 4 , tangent = 2 minus square root 3

 

Hope that helped!! Oh and I apologize for having to write everything, I'm not sure how to get the special characters ;)

 

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