1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
valentina_108 [34]
3 years ago
14

Let sin A= -3/5 with 270°< A< 360°. Find the following. sin A/2

Mathematics
1 answer:
GREYUIT [131]3 years ago
6 0

Answer:

1/sqrt10

Step-by-step explanation:

1) Find out cosA using formula (cosA)^2+(sinA)^2=1

The module of cosA= sqrt (1- (-3/5)^2)= sqrt 16/25=4/5

So cosA=-4/5 or cosA=4/5.

Due to the condition 270degrees< A<360 degrees, 0<cosA<1 that's why cosA=4/5.

2) Find sinA/2 using a formula cosA= 1-2sinA/2*sinA/2 where cosA=4/5.

(sinA/2)^2= 0.1

sinA= sqrt 0.1= 1/ sqrt10 or sinA= - sqrt 0.1= -1/sqrt10

But 270°< A< 360°, then 270/2°<A/2<360/2°

135°<A/2<180°, so sinA/2 must be positive and the only correct answer is

sin A/2= 1/sqrt10

You might be interested in
Find the area of an equilateral triangle (regular 3-gon) with the given measurement.
Dmitriy789 [7]
Whats the given measurements

6 0
3 years ago
What is the answer to - 1/3 (x+6)=0
Sauron [17]
(-\frac{1}{3})(x+6)=0\\\\\frac{1}{3}(x+6)*3=0*3\\\\-1(x+6)=0\\\\-(x+6)*-1=0*-1\\\\x+6=0\\\\x=-6
3 0
3 years ago
Read 2 more answers
If x2 = 60, what is the value of x?
MArishka [77]

Answer:

x = ±2sqrt(15)

Step-by-step explanation:

x^2 = 60

Take the square root of each side

sqrt(x^2) = ±sqrt(60)

x = ±sqrt(60)

x = ±sqrt(4 *15)

x = ±2sqrt(15)

7 0
3 years ago
Read 2 more answers
Solve: x + 1 &lt; 4 and 3 - x &gt; 5
Reika [66]

Answer:

okokok

Step-by-step explanation:

6 0
3 years ago
Complete the ratio<br> 4 : ? = 1 : 6
jolli1 [7]

I think the answer is 4:24

7 0
3 years ago
Read 2 more answers
Other questions:
  • Choco-Chippy Cookie Company has two different manufacturing plants. Company officials want to test whether each plant fills the
    12·2 answers
  • Carrie will spin a spinner 4 times.
    11·2 answers
  • A circle has its center at the point X, and points A, W, and Y lie on the circle. Which line segment could not be a chord of the
    14·1 answer
  • Line segment ON is perpendicular to line segment ML.
    12·1 answer
  • Anyone know? Please help ASAP! Thx!
    11·1 answer
  • A golf course charges $16 for a package including the full 18-hole course. The course also sells buckets of
    14·1 answer
  • Apparently I'm supposed to do one at a time so here we go again
    12·1 answer
  • I am having troubles solving this 4(x+3)=x+42 can i get some help please.
    9·2 answers
  • Estimate the solutions to the system. (The math problem is in the pictures along with the answer choices)!!!!
    9·2 answers
  • A circle has a diameter of 4 in. What is the Radius and Circumference
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!