use the exact value of cos 11pi/6 and the half-angle identity for sine to find the exact value of sin 11pi/12

Answers

Answer 1

Answer: Recall that

$\sin^2x=\frac{1-\cos2x}2$

So you have

$\sin^2(11\pi)/(12)=\frac{1-\cos\frac{11\pi}6}2=\frac{1-(\sqrt3)/(2)}2=\frac{2-\sqrt3}4$

This means

$\sin(11\pi)/(12)=\frac{√(2-\sqrt3)}2$

where you take the positive square root because $\sin x$ must be positive for angles $x$ in the interval $0<x<\pi$ .

Related Questions

Write the equation of the line that goes through the point (-4,7) and has a slope of -5.
A large tank is filled to capacity with 600 gallons of pure water. Brine containing 5 pounds of salt per gallon is pumped into the tank at a rate of 6 gal/min. The well-mixed solution is pumped out at a rate of 12 gallons/min. Find the number A(t) of pounds of salt in the tank at time t. A(t)
What two numbers have a least common multiple of 40 and a greatest common factor of 2?
What is 2 times 2..
HEEEEEEEEEEELLLLLLLPPPPP PLEASE ); Kingston deposited $90 in a savings account earning 6% interest, compounded annually. To the nearest cent, how much will he have in 2 years?

If G is midpoint of FH, find FG

Answers

The answer is 8 ihinghkki

Carol drew an isosceles triangle that has an angle that measures 62°. Which could be the measures of the other two angles in Carol’s triangle?A. 62° and 62°
B. 56° and 56°
C. 28° and 90°
D. 56° and 62°

Answers

Answer: the answer is B

Step-by-step explanation:

Answer:

56 and 62

Step-by-step explanation:

$(a(3 + a))/(3) \leqslant \frac{z(a - 1) {}^(2) }{15} - ((a - 1)(4 - a))/(5) + (1)/(5)$ can anyone help me?

Answers

a= 15+z+ square root 17(z+15)/ z-2
z=2a^2/(a-1)^2 + 30a/(a-1)^2 - 15/(a-1)^2

Is a tangent toX, and X is the center of the circle. What is the length of the radius of the circle?4
6
12
12.8

Answers

12.8 is the answer to this problem

Is the graph proportional, why or why not?

Answers

Answer: yes

Step-by-step explanation:

because it starts at 0 and continues forward

Simplify 6 x + 3y /3

Answers

Answer:

6x + y

Step-by-step explanation:

6x + 3y / 3

cancel 3y by 3

6x + y

Answer:

6x + y

Step-by-step explanation:

6x + 3y/3

6x + y