Evaluating arcsin (cos (7pi/5))

  • Thread starter Karma
  • Start date
In summary, the formula for evaluating arcsin (cos (7pi/5)) is arcsin(cos(x)) = x, where x is the angle in radians. The angle in radians for 7pi/5 is 7pi/5 radians, which can also be written as 1.4pi radians or 252 degrees. The value of cos (7pi/5) is -0.80901699, which can also be written as -√3/2 or -0.809. To evaluate arcsin of a cosine value, you can use the formula arcsin(cos(x)) = x, where x is the angle in radians. In this case, x = 7pi/5 or 1
  • #1
Karma
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Homework Statement


evaluate
arcsin(cos(7pi/5))


Homework Equations


x-pi/2=7pi/5


The Attempt at a Solution


sorry don't know where to start.
 
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  • #2
What do you mean by evaluate? What does this have to do with calculus? Could you make this a little more clear, maybe by posting what work you have, even if it is wrong?
 
  • #3
cos(theta+pi/2)=-sin(theta) and then you should be able to determine what the arcsin will give you

or you could take your 7pi/5 and then add pi/2 and get -sin(theta)
 

FAQ: Evaluating arcsin (cos (7pi/5))

What is the formula for evaluating arcsin (cos (7pi/5))?

The formula for evaluating arcsin (cos (7pi/5)) is arcsin(cos(x)) = x, where x is the angle in radians.

What is the angle in radians for 7pi/5?

The angle in radians for 7pi/5 is 7pi/5 radians. This can also be written as 1.4pi radians or 252 degrees.

What is the value of cos (7pi/5)?

The value of cos (7pi/5) is -0.80901699. This can also be written as -√3/2 or -0.809.

How do you evaluate arcsin of a cosine value?

To evaluate arcsin of a cosine value, you can use the formula arcsin(cos(x)) = x, where x is the angle in radians. In this case, x = 7pi/5 or 1.4pi radians.

What is the final answer when evaluating arcsin (cos (7pi/5))?

The final answer when evaluating arcsin (cos (7pi/5)) is 7pi/5 or 1.4pi radians. This can also be written as 252 degrees or approximately 144.2 degrees.

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