110_1_TRIGONOMETRYRev

# 110_1_TRIGONOMETRYRev - TRIGONOMETRY Angles Arc length...

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TRIGONOMETRY

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Angles, Arc length, Conversions Angle measured in standard position. Initial side is the positive x – axis which is fixed. Terminal side is the ray in quadrant II, which is free to rotate about the origin. Counterclockwise rotation is positive, clockwise rotation is negative. Coterminal Angles: Angles that have the same terminal side. 60 ° , 420 ° , and –300 ° are all coterminal. Degrees to radians: Multiply angle by . 180 3 180 60 radians Radians to degrees: Multiply angle by . 180 45 180 4 Arc length = central angle x radius, or . r s Note: The central angle must be in radian measure. Note: 1 revolution = 360 ° = 2π radians.
Right Triangle Trig Definitions sin(A) = sine of A = opposite / hypotenuse = a/c cos(A) = cosine of A = adjacent / hypotenuse = b/c tan(A) = tangent of A = opposite / adjacent = a/b csc(A) = cosecant of A = hypotenuse / opposite = c/a sec(A) = secant of A = hypotenuse / adjacent = c/b cot(A) = cotangent of A = adjacent / opposite = b/a A a b c B C

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Special Right Triangles 30 ° 45 ° 60 ° 45 ° 2 1 3 1 1 2 3 3 ) 30 tan( 2 1 ) 30 sin( 2 3 ) 30 cos( 3 ) 60 tan( 2 3 ) 60 sin( 2 1 ) 60 cos( 1 ) 45 tan( 2 2 ) 45 sin( 2 2 ) 45 cos(
) sin( ) sin( A A Basic Trigonometric Identities ) cos( ) sin( ) tan( A A A ) sin( ) cos( ) cot( A A A ) csc( 1 ) sin( A A ) sec( 1 ) cos( A A )

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## This note was uploaded on 06/06/2010 for the course EE 110 taught by Professor Gupta during the Spring '08 term at UCLA.

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110_1_TRIGONOMETRYRev - TRIGONOMETRY Angles Arc length...

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