<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>
6.28 because pi x diameter = circumference.
( diameter = half of a circle)
Step-by-step explanation:
Answer:
2,535,008
two million , five hundred thirty five thousand, eight
Answer:
Jamie's claims are correct because 3/10 of the spool twine is left over after using 1/2 of the spool twin for friendship knot
Step-by-step explanation:
Full question: He claims to have 3/10 of the original spool of twine leftover.
First, we compare 3/10 with 4/5 - 1/2
The lowest common multiple for2 and 5 is 10.
To write 4/5 as a fraction with common denominator, multiply numerator and denominator by 2
4/5 = (4×2)/(5×2) = 8/10
To write 1/2 as a fraction with a common denominator, multiply denominator and numerator by5
1/2 =(1×5)/(2×5) = 5/0
So we have :
8/10 - 5/10
Since denominators are equal ,we go ahead and subtract
8/10 - 5/10 = (8-5)/10 = 3/10
