Answer:
A
Step-by-step explanation:
<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:
D
Step-by-step explanation:
The formula for C is
C=2πr (using 3.14 as pi)
so C=2(3.14)(45)
so C=90(3.14)
so C≈282.6 or D
Answer:
Step-by-step explanation:
<u>Scientific notation</u>
where:
is any positive or negative <u>whole number</u>.
To convert a number into scientific notation, <u>move</u> the decimal point to the <u>left or right</u> until there is <u>one digit</u> to the left of the decimal point.
The number of times you have moved the decimal point is .
- If the decimal point has moved to the <u>left</u>, is positive.
- If the decimal point has moved to the <u>right</u>, is negative.
To convert 500,000,000,000 into scientific notation, move the decimal point <u>11 places to left</u>, so a = 5. As we have moved the decimal point 11 places to the left, the exponent "n" is 11 and is <u>positive</u>.
To convert 0.00000000005 into scientific notation, move the decimal point <u>11 places to the right</u>, so a = 5. As we have moved the decimal point 11 places to the right , the exponent "n" is 11 and is <u>negative</u>.
Learn more about scientific notation here:
brainly.com/question/28235385
