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Warm up

Warm up. Change to degrees, minutes, and seconds. Write as a decimal rounded to the nearest thousandth. Identify all angles that are coterminal with Then find one positive angle and one negative angle that are coterminal with the angle. Find the six trig functions for a angle.

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Warm up

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  1. Warm up Change to degrees, minutes, and seconds. Write as a decimal rounded to the nearest thousandth. Identify all angles that are coterminal with Then find one positive angle and one negative angle that are coterminal with the angle. Find the six trig functions for a angle. Solve Round to the nearest tenth.

  2. 6.1Angles and Radian Measure Essential Questions What is a radian? How do you convert between degrees and radians? How do you find arc length? How do you find the area of a sector?

  3. Make a circle on your paper MARKING THE CENTER! Draw the radius Measure the radius with your string. Measure an arc length along the circle the length of the radius starting where the radius intercepts the circle.

  4. How do we measure angles? We can measure angles in degrees and radians. So what is a radian? A radian is an angle that is formed when the radius is equal to the arc length of angle formed.

  5. Conversion of angle We can convert from degrees to radians using a unit multiplier: On Practice Sheet: 1. Change -250° to radians 7. Change 4π radian to degrees

  6. Common Conversions Degrees Radians 13. Evaluate tan π/4 14. Evaluate cos 3π/2

  7. More practice… 19. Find the length of the arc formed from a central angle of π/6 radians.

  8. More practice… 22. Find the area of the sector of a circle with a central angle of π/6 radians and radius 14 units.

  9. Homework P348 #17-51 Odd, 53-55A, 57-61 Odd, 72

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