Basic Trigonometric Functions & Applications with examples, Summaries of Trigonometry

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02)Trigonometric Functions

Example

02)Trigonometric Functions y ee .P Y| 4 y ) x fo) x sing =~ T cos@ =— tang =~ x OP =r (vector radius) OA = x (perpendicular projection distance on the y axis) AP = y (perpendicular projection distance on the x axis) Bea sa Nee NAN EN ian La A i I ea UN wa CO A em Wm WA Hae gL Wana Ne AINE a eel eel iG ale iG ale ale iG TeAECH Fo MGM UES EWI) xt CAs I NCRMET ETI pat ET AQUI ty Pe) (aH INL 4 fr) Es DJ ev ent Ce LN PLN Nhe) (aH) LUE fe P11) Ea NEC ev Tat Tat i Rae ae Tat Tat T i BE oe ee oS eS Ane Es eee 6 6 a 6 a 6 6 a ed ECE 0 f= a) (a ECG) LL fs ea a eae Tat Tat i Rae T 1 Tat Tat T i iad) SY aay Saas VSqgq2 ge eee a eso oa see oa ae os elegans ayelslapy 6 6 6 a 6 6 a Bea ON EN NM NAN) HAA LE ea A I i] LN NIT ea LEN AY AA PLN A NLL NIC Wat aL Ee AN LN a | | i T | ya |e eae eae ae et ECE 00 f=) ag | fs SEF] Cy tc Lf NE) PN Fy Eh Cod CAL CN EN vy at EC VO) EN EC EU Tat Tat i Tat Tif Tat Tat T i SO SS MSS oS Sees Sos 2ST eseSSse é é é i é é i Example 1) If the angle 6 = 30° = A , the point on the unit circle is P(cos1/6, sinm/6 ) = (V3/2 , 1/2) The ratio of sine to cosine: tan@ = sin@ cos@ 2) tanz/3 =sinm/3 cos1/3 = V¥3/2 1/2 = v3 Example; 01) Find the approximate graph of y = 2 sinx 2sin(2) Amplitude = 2 sin(a) y/ Period = 20 A x= —1/2 y = 2sin(— *) y = 2(-1) y=-2 x=0 y =2sin0 y=0 x=nm/2 y =2sinn/2 ya2