Coterminal Angles and Quadrants
Give a positive coterminal angle for π/4
9π/4, 17π/4, ...
Find the sine of A in the triangle on the board.
1/2
What is π/3 in degrees?
60˚
Evaluate sin( π/4 )
sqrt(2)/2
What is sin2x + cos2x equivalent to?
1
Find a positive coterminal angle for -π/2
3π/2, 7π/2, ...
Find the sine of B in the triangle on the board.
sqrt(3)/2
What is 5π/4 in degrees?
225˚
Evaluate cos (11π/6)
sqrt(3)/2
What is 1 - cot2x equivalent to?
csc2x
Find a negative coterminal angle for 89π/17
-13π/17 , -47π/17, ...
Find the tangent of A in the triangle on the board.
1/sqrt(3) = sqrt(3)/3
What is 57π/60 in degrees?
171˚
Evaluate tan (3π / 4)
-1
What is (sec x)(cot x)(csc x) equivalent to?
csc2x
In what quadrant is the angle 103π/15 located?
QII (coterminal to 13π/15)
Find the secant of B in the triangle on the board.
2
What is 390˚ in radians (as a fraction in simplest form)?
13π/6
Evaluate sec (4π/3)
-2
What is (1 - sin2x)/(csc2x - 1) equivalent to?
sin2x
In what quadrant is the angle 9 located?
Q II (There are ~6.28 radians in a complete circle, so 9 radians is QII)
Find the cosecant of B in the triangle on the board.
2/sqrt(3) = 2sqrt(3)/3
What is 204˚ in radians (as a fraction in simplest form)?
17π/15
Evaluate csc (π)
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What is (csc x + cot x)/(1 + cos x) equivalent to?
csc x