Double angle and half angle identities
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Double-Angle and Half Angle Identities. Double-Angle Identity. If represents the measure of an angle, then the following identities hold for all values of . If and terminates in the first quadrant, find the exact value of each function. -1.

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Double-Angle and Half Angle Identities

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Double angle and half angle identities

Double-Angle and Half Angle Identities


Double angle identity

Double-Angle Identity

  • If represents the measure of an angle, then the following identities hold for all values of .


Double angle and half angle identities

  • If and terminates in the first quadrant, find the exact value of each function.

-1


Double angle and half angle identities

  • If and terminates in the first quadrant, find the exact value of each function.

  • we must first find the


Double angle and half angle identities

  • we must find to use the identity for .


If and terminates in the first quadrant find the exact value of each function

If and terminates in the first quadrant, find the exact value of each function.


Half angle identities

Half-Angle Identities

  • If represents the measure of an angle, then the following identities hold for all values of .


Use a half angle identity to find the exact value of each function

Use a half-angle identity to find the exact value of each function.

Since 15⁰ is a first quadrant angle and sine is positive in the first quadrant, choose the positive value.


Use a half angle identity to find the exact value of each function1

Use a half-angle identity to find the exact value of each function.

Since 135 is a second quadrant angle and cosine is negative in the second quadrant, choose the negative value. Thus,


Use a half angle identity to find the exact value of

Use a half-angle identity to find the exact value of


Double angle and half angle identities

  • Complete the worksheet due Wednesday


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