SOLUTION: using exact values simplify the following and express your answer in radical form and as one single fraction sin45degrees(1-cos30degrees)+cos45degrees(sin60degrees-sin30degrees)

Question 1091217: using exact values simplify the following and express your answer in radical form and as one single fraction
sin45degrees(1-cos30degrees)+cos45degrees(sin60degrees-sin30degrees)
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
Using the values sin 45, cos 45 = 1/sqrt(2), sin 60, cos 30 = sqrt(3)/2, and sin 30 = 1/2, we get
1/sqrt(2)(1-sqrt(3)/2) + 1/sqrt(2)(sqrt(3)/2 - 1/2)
Simplify:
1/sqrt(2)(1 - 1/2) = 1/(2*sqrt(2))
RELATED QUESTIONS
use the special triangles to answer the following questions without the use of... (answered by ikleyn)

Simplify and express as a single fraction in its simplest form. 2/x*x+3x +... (answered by mananth)

Solve the following exponential equation. Express irrational solutions in exact form and... (answered by rothauserc)

A. Write the expression 81^-3/4 in radical notation B. Evaluate the radical expression. (answered by Alan3354,MathTherapy)

Simplify. Express your answer in simplied radical form. sqrt... (answered by jim_thompson5910)

Simplify. Express your answer in simplified radical form.... (answered by stanbon)

Simplify. Express your answer in simplified radical form sqrt5x/sqrt3 (answered by stanbon)

Express the following as single fraction in it's simplest form.... (answered by josh_jordan)

Please help! In the following all variables represent positive real numbers. Perform the... (answered by fractalier)