Properties of sin and cos
[DOC File]CHAPTER 10 : TRIGONOMETRIC FUNCTIONS, IDENTITIES & …
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sin( = b / r cos ( = a / r csc ( = r / b (b ( 0) sec ( = r / a (a ( 0) tan ( = b / a (a ( 0) cot ( = a / b (b ( 0) *** Unit Circle Applications: To be on the unit circle, the radius MUST be equal to 1! Let t be a real number and (x, y) be a point on the unit circle. ... PROPERTIES: FUNCTION DOMAIN RANGE. sinθ, cosθ all reals [-1, 1]
[DOC File]6.2 TRIG FUNCTIONS -- UNIT CIRCLE
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to similarly conclude the cos A = sin B because the side adjacent to angle A is the side opposite angle B. Explain that the “co” in cosine refers to the “sine of the complement.” Lead students to discover that tan A and tan B are reciprocals.
Properties of Trigonometric Inverse Functions: Identities, Videos, Ex…
Note : Equations of the type a cos ( + b sin ( = c where a, b and c are constants, to solve it, we first express a cos ( + b sin ( = R cos (( ( () where R > 0 and ( is acute. Example 7.10 Find the general solution of the equation cos x + cos 2x + cos 3x = 0 and hence deduce the values of x between - ( and (.
[DOC File]Chapter 9
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prove and use the properties: sin -1 - x = -sin -1 x , cos -1 - x = π - cos -1 x , tan -1 - x =- tan -1 x and cos -1 x + sin -1 x = π 2 Inverse trigonometric functions as inverse functions Students apply the relationship between functions and their inverses, i.e. f f -1 x = x and f -1 f x = x , to generate the results
[DOCX File]Lesson 13: Trigonometric Ratios
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I 9 cos 2kt 2. t 10 eat 3. tn 11 sinh k t 4. t 12 cosh kt 5. t 13 sinh2 kt 6. sin k t 14 cosh2 kt 7. cos k t 15 t eat 8. sin2kt 16 tneat n a positive integer 17. eat sin kt 31. H (t-a)=ua(t) 18. eat cos kt 32.
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