math

Evaluate.
1. sin^-1(-1/2)
2. cos^-1[(-root 3)/2]
3. arctan[(root3)/3]
4. cos(arccos2/3)
5. arcsin(sin 2pi)
6. sin(arccos 1)

I got these values as my answers:
1. -pi/6
2. 5pi/6
3. pi/6
4. 2/3
5. 2pi
6. 0

Can someone please tell me if they are right? thank you

  1. 👍 0
  2. 👎 0
  3. 👁 85
  1. The answers for inverse trigonometric depends on the range. Most of the time,
    function range
    asin(x) -π/2 to π/2
    acos(x) 0 π
    atan(x) -&pi/2 to π/2

    Based on the above ranges, here are your answers:

    1. -pi/6 correct
    2. 5pi/6 correct
    3. pi/6 correct
    4. 2/3 correct
    5. (2pi) 0
    6. 0 correct

    1. 👍 0
    2. 👎 0
    posted by MathMate
  2. Thank you MathMate.

    1. 👍 0
    2. 👎 0
  3. You're very welcome!

    1. 👍 0
    2. 👎 0
    posted by MathMate

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    Evaluate. 1. sin^-1(-1/2) 2. cos^-1[(-root 3)/2] 3. arctan[(root3)/3] 4. cos(arccos2/3) 5. arcsin(sin 2pi) 6. sin(arccos 1)

    asked by anonymous on January 7, 2010
  2. Trigonometry

    I need help with I just can't seem to get anywhere. this is as far as I have got: Solve for b arcsin(b)+ 2arctan(b)=pi arcsin(b)=pi-2arctan(b) b=sin(pi-2arctan(b)) Sub in Sin difference identity let 2U=(2arctan(b))

    asked by Jen on July 27, 2007
  3. TRIG!

    Posted by hayden on Monday, February 23, 2009 at 4:05pm. sin^6 x + cos^6 x=1 - (3/4)sin^2 2x work on one side only! Responses Trig please help! - Reiny, Monday, February 23, 2009 at 4:27pm LS looks like the sum of cubes sin^6 x +

    asked by hayden on February 23, 2009
  4. Trigonometry

    Evaluate please: a.) arcsin(sin 13pi/16) b.) arccos(cos[-pi/18]) c.) arcsin(sin pi/18 d.) arcsec(-√2) e.) arctan(-√3/3)

    asked by Liv on November 26, 2016
  5. math

    Eliminate the parameter (What does that mean?) and write a rectangular equation for (could it be [t^2 + 3][2t]?) x= t^2 + 3 y = 2t Without a calculator (how can I do that?), determine the exact value of each expression. cos(Sin^-1

    asked by Anonymous on August 3, 2007
  6. maths

    Please can you help me with this question? Choose the option which is a false statement: A arctan(tan2/3pi))=-1/3pi B arccos(cos(3/4pi))=3/4pi C sin(arcsin(-1/2pi))=-1/2pi D arcsin(1/2squareroot3)=1/3pi E arcsin(sin(3/4pi))=1/4pi

    asked by janet on May 26, 2011
  7. tigonometry

    expres the following as sums and differences of sines or cosines cos8t * sin2t sin(a+b) = sin(a)cos(b) + cos(a)sin(b) replacing by by -b and using that cos(-b)= cos(b) sin(-b)= -sin(b) gives: sin(a-b) = sin(a)cos(b) - cos(a)sin(b)

    asked by Pablo on November 26, 2006
  8. calculus

    Differentiate. y= (cos x)^x u= cos x du= -sin x dx ln y = ln(cos x)^x ln y = x ln(cos x) (dy/dx)/(y)= ln(cos x) (dy/dx)= y ln(cos x) = (cos x)^x * (ln cos x) (dx/du)= x(cos x)^(x-1) * (-sin x) = - x sin(x)cos^(x-1)(x)

    asked by Chelsea on March 10, 2011
  9. Calc.

    Differentiate. y= (cos x)^x u= cos x du= -sin x dx ln y = ln(cos x)^x ln y = x ln(cos x) (dy/dx)/(y)= ln(cos x) (dy/dx)= y ln(cos x) = (cos x)^x * (ln cos x) (dx/du)= x(cos x)^(x-1) * (-sin x) = - x sin(x)cos^(x-1)(x)

    asked by Chelsea on March 9, 2011
  10. algebra

    Can someone please help me do this problem? That would be great! Simplify the expression: sin theta + cos theta * cot theta I'll use A for theta. Cot A = sin A / cos A Therefore: sin A + (cos A * sin A / cos A) = sin A + sin A = 2

    asked by Valerie on February 18, 2007

More Similar Questions