SOLUTION: Use the given information to determine the values of sine 2 theta​, cosine 2 theta​, and tangent 2 theta. sin theta=3/20; The terminal side of theta lies in quadrant I

Algebra.Com
Question 1128167: Use the given information to determine the values of sine 2 theta​, cosine 2 theta​, and tangent 2 theta.
sin theta=3/20; The terminal side of theta lies in quadrant II.
Answer by ikleyn(52788)   (Show Source): You can put this solution on YOUR website!
.
1.  First, you need to calculate  

         =  =  =  = .

        Notice that the sign before the final sqrt is " - " ("minus") since the angle  is in QII.


    Then

         =  = .


    At this point, I leave it to you to complete, simplify and to get the final number.




2.  Next,   =  = .


    Again, at this point, I leave it to you to complete, simplify and to get the final number.




3.  The final step is   = ,

    which values you substitute from steps 1 and 2.


I completed my instructions.


RELATED QUESTIONS

Use the given information to find the exact values of sine 2 theta​, cosine 2... (answered by ikleyn)
Use the given information to determine the values of sine 2 theta​, cosine 2 theta, and (answered by greenestamps)
Use the given information to determine the values of sine 2 theta​, cosine 2 theta, and (answered by MowMow,MathTherapy,ikleyn)
Use double-angle identities to find values of the sine and cosine functions for each... (answered by lwsshak3)
Use identities to find values of the sine and cosine functions for each angle measure.... (answered by lwsshak3)
Use the information given about angle theta to find the exact value of cosine theta/2 (answered by solver91311)
Use the information given about angle theta to find the exact value of cosine... (answered by solver91311)
Hello, I am trying to find the solution to this problem If cotangent of theta equals... (answered by Alan3354)
Use the given information to determine the exact trigonometric value sin theta=-1/5,... (answered by stanbon)