Evaluating Inverse Cosine Expressions

  • 12th Grade
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Cierra Henderson, MBA |
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Cierra is an educational consultant and curriculum developer who has worked with students in K-12 for a variety of subjects including English and Math as well as test prep. She specializes in one-on-one support for students especially those with learning differences. She holds an MBA from the University of Massachusetts Amherst and a certificate in educational consulting from UC Irvine.
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| Questions: 20 | Updated: Jan 19, 2026
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1) What is the exact value of arccos(1/2)?

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About This Quiz
Evaluating Inverse Cosine Expressions - Quiz

Think of this quiz as your practice ground for decoding across values. You’ll be working through exact values of inverse cosine, matching them to their correct angles in radians. From simple inputs like 0 and 1 to trickier ones involving roots, this quiz makes sure you know exactly where... see moreeach cosine value lives on the unit circle.
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2) What is the exact value of arccos(0)?

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3) What is the exact value of arccos(-1/2)?

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4) What is the exact value of arccos(√3/2)?

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5) What is the exact value of arccos(-√3/2)?

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6) What is the exact value of arccos(√2/2)?

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7) What is the exact value of arccos(-√2/2)?

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8) What is the exact value of arccos(1)?

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9) What is the exact value of arccos(-1)?

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10) Evaluate arccos(cos(7π/6)).

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11) Evaluate arccos(cos(11π/6)).

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12) Evaluate arccos(cos(4π/3)).

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13) Evaluate arccos(cos(-π/3)).

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14) Evaluate arccos(cos(5π/4)).

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15) Evaluate arccos(cos(9π/4)).

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16) Evaluate arccos(cos(-5π/6)).

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17) What is the exact value of arccos((√6 + √2)/4)?

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18) What is the exact value of arccos(-(√6 + √2)/4)?

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19) What is the exact value of arccos((√6 - √2)/4)?

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20) What is the exact value of arccos(-(√6 - √2)/4)?

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Cierra Henderson |MBA |
K-12 Expert
Cierra is an educational consultant and curriculum developer who has worked with students in K-12 for a variety of subjects including English and Math as well as test prep. She specializes in one-on-one support for students especially those with learning differences. She holds an MBA from the University of Massachusetts Amherst and a certificate in educational consulting from UC Irvine.
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What is the exact value of arccos(1/2)?
What is the exact value of arccos(0)?
What is the exact value of arccos(-1/2)?
What is the exact value of arccos(√3/2)?
What is the exact value of arccos(-√3/2)?
What is the exact value of arccos(√2/2)?
What is the exact value of arccos(-√2/2)?
What is the exact value of arccos(1)?
What is the exact value of arccos(-1)?
Evaluate arccos(cos(7π/6)).
Evaluate arccos(cos(11π/6)).
Evaluate arccos(cos(4π/3)).
Evaluate arccos(cos(-π/3)).
Evaluate arccos(cos(5π/4)).
Evaluate arccos(cos(9π/4)).
Evaluate arccos(cos(-5π/6)).
What is the exact value of arccos((√6 + √2)/4)?
What is the exact value of arccos(-(√6 + √2)/4)?
What is the exact value of arccos((√6 - √2)/4)?
What is the exact value of arccos(-(√6 - √2)/4)?
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