L01 - 1 sin 2 x cos 2 x = 2 tan 2 x 1 = 3 1 cot 2 x = 4...

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MAC 2311 INSTRUCTOR OFFICE HOURS PHONE EMAIL TEXT SYLLABUS 1
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PREREQUISITES EVENING EXAMS FINAL EXAM GRADE TESTS QUIZZES PARTICIPATION FINAL EXAM TOTAL 2
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Trigonometry π radians = degrees 1 degree = radians Express 12 as radians Express 2 π 5 radians as degrees 3
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Arclength ( θ in radians ) standard position sin θ csc θ cos θ sec θ tan θ cot θ 4
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Know the exact values of the trigonometric functions for 0 , π 6 , π 4 , π 3 , π 2 , π , (student guide p.12) and be able to use reference angles. Find the exact value of cos( 4 π 3 ). Solve for θ in [ 0 , 2 π ) if sin( θ ) = - 1 2 . 5
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Find the values of the other trigonometric functions if θ is in Quadrant II and sin θ = 3 5 . 6
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Trigonometric Identities
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Unformatted text preview: 1) sin 2 ( x ) + cos 2 ( x ) = 2) tan 2 ( x ) + 1 = 3) 1 + cot 2 ( x ) = 4) sin(-x ) = 5) cos(-x ) = 6) sin( x ± y ) = 7) cos( x ± y ) = 8) tan( x ± y ) = 9) sin(2 x ) = 10) cos(2 x ) = ≤ sin( x ) ≤ ≤ cos( x ) ≤ 7 Solve for θ in [0 , 2 π ) if √ 3 sin(2 θ )-2sin 2 ( θ ) = 0 . 8 Solve for θ in [0 , 2 π ) if sin( θ ) > tan( θ ) . 9 Know the six basic trigonometric graphs. 10 Inverse Trigonometric Functions sin-1 x = y ⇔ cos-1 x = y ⇔ tan-1 x = y ⇔ 11...
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