Question 1181656
Determine the exact value of(sin 45)(cos 135)+(sin240)(cos30). Be sure to draw a relevant diagram for each angle
<pre>From the UNIT CIRCLE graph, or from memory, maybe, you might know that {{{matrix(4,3, sin (45), "=", sqrt(2)/2, cos (135), "=", - sqrt(2)/2, sin (240), "=", - sqrt(3)/2, cos (30), "=", sqrt(3)/2)}}}

                               Therefore, {{{matrix(1,3, sin (45) cos (135) + sin (240) cos (30), "=", (sqrt(2)/2)(- sqrt(2)/2) + (- sqrt(3)/2)(sqrt(3)/2))}}}
                                                                          {{{m atrix(2,2, "=", (- sqrt(2 * 2)/4) + (- sqrt(3 * 3)/4), "=", (- sqrt(4)/4) + (- sqrt(9)/4))}}}
                                                                         {{{h ighlight_green(matrix(1,6, "=", (- 2)/4 + (- 3)/4, "=", (- 2 - 3)/4, "=", highlight(- 5/4))))}}}</pre><pre>As far as the diagram (relevant, that is) is concerned, as the STUDENT, you need to do that part!
BTW: It's NOT nearly as COMPLEX as that woman makes it seem, especially when decimals and calculations are brought into the picture.
Furthermore, it's stated that an EXACT value is being sought, so why even introduce decimals. That's what EXACT means, no calculator/calculations,
JUST SIMPLE mathematics. 
It's NOT unexpected though because she has the propensity to make a mountain out of a mole hill, and also to furnish very WEIRD, COMPLEX, 
and most-often, INCORRECT so-called solutions! Be AWARE!!