Cos to sec
[DOC File]Honors PreCalculus – Simplifying Trig Expressions Worksheet
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1. 2. 3. sec x tan x cos x. 4. sin2 x cot x csc x. 5. 6. 7. tan2 x (csc2 x – 1) 8. 9. 10. 11. cos x (sec x – cos x) 12. cot x (tan x + cot x)
[DOC File]6.2 TRIG FUNCTIONS -- UNIT CIRCLE
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cos t = x/1 = x sec t = 1 / x ( x ( 0) tan t = y / x (x ( 0) cot t = x / y (y ( 0) Note: The unit circle is just a special case of this general theorem! Example: A) Find the values of the trig functions corresponding to (-4/5, 3/5) sin θ = csc θ = cos θ = sec θ = tan θ = cot θ =
[DOC File]§5
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Note: The sec, csc and cot are found by taking the reciprocal of the values of cos, sin and tan. Don’t use the sin-1, cos-1 or tan-1 keys for finding csc, sec and cot. The inverse trig f(n) are their own functions. The last concept that needs introduction relies on more identities. These are the Pythagorean identities.
[DOC File]TRIGONOMETRY
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Radian Measure Degree Measure 330( 450( (135( 240( Sin Cos Tan Cot Sec Csc Radian Measure Degree Measure 540( 150( (210( 270( Sin Cos Tan Cot Sec Csc Answers
[DOC File]CHAPTER 10 : TRIGONOMETRIC FUNCTIONS, IDENTITIES & …
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Expression R-formula a cos ( + b sin ( R cos (( ( () a sin ( + b cos ( R sin (( + a cos ( ( b sin ( R cos (( + a sin ( ( b cos ( R sin (( ( () Example 6.1. Express 3 cos ( + 4 sin ( in the form R cos (( - (). Hence, find the maximum and minimum values of. 3 cos ( + 4 sin (. [5 cos ( ( - …
[DOC File]Chapter 1: Trigonometric Functions
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Think of the unit circle sin & cos. Cot & Tan based on sin & cos. Sec & CSc based on 1/sin & 1/cos Trig F(n) Review & Extend §1.3. Pythagorean Identities (Needed in Calculus) Developed on p. 34. Sin2 θ + cos2 θ = 1 or cos2 θ = 1 – sin2 θ. Tan2 θ + 1 = sec2 θ. 1 + cot2 θ = csc2 θ
[DOCX File]Army Public School, Hisar
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ASSIGNMENT. Inverse Trigonometry Functions. Evaluate : . sin sec -1 17 15 . Evaluate: . tan ( 1 2 sin -1 3 5 ) . Evaluate : . sin cos -1 3 5 . Evaluate: tan-1[tan(-3π 4 )]Solve the equation : . sin -1 1-x = π 2 + 2 sin -1 x. Prove that: . cos 2 tan -1 1 7 = sin (4 tan -1 1 3 ) . Write . cot -1 ( 1+ x 2 -x) . in the simplest form.. If . cos -1 x 2 + cos -1 y 3 =α ,then prove that 9 x 2 ...
[DOC File]Analysis BC - Tredyffrin/Easttown School District
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Find the exact values of the six trig functions of θ given cos θ = -4/5 and θ lies in Quadrant III. Find the exact values of the six trig functions of θ given the terminal side of θ lies on the line 4x + 3y = 0 and lies in Quadrant IV. Give tan θ = 3/2 and that θ lies in Quadrant III, find sec θ.
[DOC File]Notes – Trigonometry
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tan 45º 17. cos 60º. 18. sin 60º 19. cos 45º 20. tan 30º 21. sin 30º. More Trigonometric Ratios. The cosine, sine and tangent ratios are defined in terms of the lengths of the sides of a right triangle. Three other ratios are the . secant, the . cosecant. and the . cotangent. ratios. The ratios are abbreviated as sec, csc, cot. sec A ...
[DOC File]PreCalc D - Trigonometry Worksheet
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25) sin < 0 and cos < 0 26) sec > 0 and cot < 0. 27) sin > 0 and cos < 0 28) csc < 0 and tan > 0 Evaluate the following trigonometric functions: 29) If sin = 1/2, then cos = ? 30) If sin = 1/3, then tan = ? 31) If cos = 4/5, then cot = ? 32) If sec = 13/5, then csc = ? 33) If cot = 15/8, then sec = ? 34) tan = 1/2, sin = ?
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