SOLUTION: Can you please help me the problem is: if theta is a positive acute angle and sin2theta= radical 3 over 2, then ( cos theta + sin theta)squared equals

Algebra ->  Trigonometry-basics -> SOLUTION: Can you please help me the problem is: if theta is a positive acute angle and sin2theta= radical 3 over 2, then ( cos theta + sin theta)squared equals      Log On


   

Question 617146: Can you please help me the problem is: if theta is a positive acute angle and sin2theta= radical 3 over 2, then ( cos theta + sin theta)squared equals
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
%28cos%28theta%29+%2B+sin%28theta%29%29%5E2
Squaring this using the %28a%2Bb%29%5E2+=+a%5E2%2B2ab%2Bb%5E2 pattern:
cos%5E2%28theta%29+%2B+2%2Acos%28theta%29%2Asin%28theta%29+%2B+sin%5E2%28theta%29
We should recognize that the 1st and 3rd terms are equal to 1:
1%2B+2%2Acos%28theta%29%2Asin%28theta%29
And we should recognize the second term is sin%282theta%29. Since we've told that this is sqrt%283%29%2F2 we now have:
1+%2B+sqrt%283%29%2F2