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]
2 years ago
14

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

Mathematics
1 answer:
GREYUIT [131]2 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
Eve split 42 marbles between herself and 5 friends. Her mom then gave her 2 more packs of marbles with 4 in each. How many does
NeTakaya

Answer:

$15

Step-by-step explanation:

8 0
3 years ago
The graph of a function h is shown below find h(2).
Fantom [35]

Answer:

i cant really see it but i think the answer is 5

Step-by-step explanation:

when you look at the graph go to where x is 2 then keep going up and whatever point it hits thats the answer

3 0
2 years ago
Which of the following is a radical equation???
MaRussiya [10]
Maybe D ??





Step by step explanation
4 0
3 years ago
Four less than the square of a number
matrenka [14]

Answer: x² - 4


<u>Four less than</u> the <u>square of a number</u>

       ↓                                   ↓

(Take away 4)                     x²


Four less than the square of a number = x² - 4

6 0
3 years ago
Malik’s solution to the equation 2/5x-4y=60 is shown below
frozen [14]

Answer:a

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • If jack has 10 apples an sally eats 4 how many apples does jack have?
    9·2 answers
  • What is 3×5×7×11 prime fraction of
    15·1 answer
  • Can someone help with #3 and show your work !!
    10·2 answers
  • True or false...the segment AB is congruent to the segment BC​
    13·1 answer
  • The original price of a tortoise is
    5·2 answers
  • Given f(x) = 8x + 25, find x when f(x) = 9.<br> A -2 <br> B -1<br> C 0<br> D 2
    6·1 answer
  • Zack used these steps to solve this equation:
    5·1 answer
  • Solve the equation for w<br> 7w + 18 = 10w + 24
    14·2 answers
  • What is the square root of 49.<br> a. 7<br> a.<br> b. 6<br> C. 8<br> 2 d. 9
    7·2 answers
  • What is the greatest common factor of 3x4, 15x3, 21x2
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!