<span>
6 Find an exact value. sin 75°
</span>sin(A+B)=sin(A)cos(B)+cos(A)sin<span>(B)
</span>sin(45)=cos(45)=(2^0.5)/2 sin(30)=0.5 cos(30)=(3^0.5)/2
sin(45+30)=sin(45)cos(30)+cos(45)sin(30)=(6^0.5+2^0.5)/4
the answer is the letter d) quantity square root of six plus square root of two divided by four.
<span>
7. Find an exact value. sine of negative eleven pi divided by twelve.
</span>sin(-11pi/12) = -sin(11pi/12) = -sin(pi - pi/12) = -sin(pi/12) = -sin( (pi/6) / 2)
= - sqrt( (1-cos(pi/6) ) / 2) = -sqrt( (1-√3/2) / 2 ) = -(√3-1) / 2√2=(√2-√6)/4
the answer is the letter c) quantity square root of two minus square root of six divided by four.
<span>
8. Write the expression as the sine, cosine, or tangent of an angle. sin 9x cos x - cos 9x sin x
</span>
sin(A−B)=sinAcosB−cosAsinB
sin(9x−x)= sin9xcosx−cos9xsinx= sin(8x)
the answer is the letter c) sin 8x
<span>
9. Write the expression as the sine, cosine, or tangent of an angle. cos 112° cos 45° + sin 112° sin 45°</span>
cos(A−B)=cosAcosB<span>+sinA</span>sinB
cos(112−45)=cos112cos45<span>+sin112</span>sin45=cos(67)
the answer is the letter d) cos 67°
10. Rewrite with only sin x and cos x.
sin 2x - cos 2x
sin2x =
2sinxcosx<span>
cos2x = (cosx)^2 - (sinx)^2 = 2(cosx)^2 -1 = 1- 2(sinx)^2</span>
sin2x- cos2x=2sinxcosx-(1- 2(sinx)^2=2sinxcosx-1+2(sinx)^2
sin2x- cos2x=2sinxcosx-1+2(sinx)^2
<span>
the answer is the letter <span>
b) 2 sin x cos2x - 1
+ 2 sin2x</span></span>
Answer:
121
Step-by-step explanation:
180°-74° = 106°
106°= x-15°
106+15= X
x= 121
(correct me if im wrong plz)
56.67 cups of flour
10 divided by 3 = 3.33 x 17 = 56.67 cups
Answer:
The last answer choice: Jalon can score 10 times as many points in the next level as in the level he has reached.
Step-by-step explanation:
For every level increase the number of points is multiplied by 10. So after reaching the first level, Jalon will have 10 points. After the second level, 100 points. After the thierd level, 1000 points. After the fourth level, 10000 points, and so on like that.
Answer:
<h2><u>[A] 0</u></h2>
Explanation:
- <u>Lines of symmetry; A line that cuts a shape exactly in half</u>
If you were to put a line of symmetry down and fold the shape in half on that line, both halves would match exactly.
- If you were to put a line of symmetry down on <u>this triangle</u> both sides <u>would not match</u>, therefore there are no lines of symmetry.
<h3><u>There are zero lines of symmetry, therefore your answer is [A] 0</u></h3>
