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1.What is the exact value of sin(-pi/12) ?

is my answer correct:

-squ(3) -1   /   2squ(2)

 

2. What are the solutions of the equation 2sin (4x)=1   on the interval [0, pi)?

Is the answer is:

x=5pi/24

 

3. A 30-foot ramp is used to move product to a loading dock. The ramp makes a 24° angle with the horizontal. The ramp is to be replaced with a ramp that is 50 feet long. What angle does this replacement ramp make with the horizontal? Round your answer to the nearest tenth of a degree.

My answer is:

14.1 degree

Please help and see if its correct if not please help me!!

 Apr 2, 2020
edited by KASI20W  Apr 2, 2020
edited by KASI20W  Apr 2, 2020
 #1
avatar+31325 
+2

Here's the answer to 1:

 

 Apr 2, 2020
 #2
avatar+77 
0

What about the others are they correct??

 Apr 2, 2020
 #3
avatar+28021 
+1

sin 4x = 1/2    

     4x = pi/6    and   5pi/6       now divide by 4 to find x  

 Apr 2, 2020
 #5
avatar+77 
+1

Do i divide 5pi/6 by 4? And thanks for the help! :)

KASI20W  Apr 2, 2020
 #6
avatar+28021 
+1

Yes you divide both sides of the equation by 4      so     pi/6  would be divided by 4 also   

ElectricPavlov  Apr 2, 2020
 #7
avatar+77 
+1

I know i have asked many questions but is it correct?

2.1 for pi/6 and 10.5 for 5pi/6

KASI20W  Apr 2, 2020
 #8
avatar+28021 
+1

You MULTIPLIED by 4......you need to DIVIDE by 4   cheeky

 

4x = pi/6    divide by 4

x = pi/24

 

 

4x = 5pi/6    divide by 4

x = 5pi/24                                           

ElectricPavlov  Apr 2, 2020
 #4
avatar+28021 
+1

3.   I got 14.1o    like you did..... good work !    cheeky   (or we BOTH got the wrong answer...haha)

 Apr 2, 2020

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