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Warm Up Evaluate each of the following. 1) cos (150 ○ ) 2) sin (360 ○ )3) 4) 5) 6) 7) tan(240 ○ ) 8) csc(-225 ○ ) 9) cot(20π/3) 10) sec(- π/4)
Pass up your homework and clear your desk for the QUIZ
Sum, Difference, and Half Angle Identities
Use your calculator to approximate cos75°. – Make sure you’re in Degree Mode! Does cos(30°+45°) = cos30° + cos45°?
Sum/Difference Identities (You need to MEMORIZE these) cos(A + B) = cosA cosB - sinA sinB cos(A - B) = cosA cosB + sinA sinB Examples Calculate: 1. Cos75°2. Sec75°
Memorize these sin(A + B) = sinA cosB + cosA sinB sin(A - B) = sinA cosB - cosA sinB Examples Calculate: 1.Sin(7π/12) 2.Csc(7π/12)
Example: Calculate Memorize these
Half Angle Identities… (You do not have to memorize these)
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Holt Algebra Sum and Difference Identities Does the sin(75) =sin(45)+sin(30) ? Check it out.
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Practice Evaluate each of the following. 1) cos (150 ○ )2) sin (360 ○ )3) 4) 5) 6) 7) tan(240 ○ ) 8) csc(-225 ○ ) 9) cot(20π/3) 10) sec(- π/4)
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COMPOUND ANGLE FORMULAE. It can be shown that the compound angle formula for sin (A + B) is: Consider the expression: sin (A + B). Firstly note that sin.
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Lesson 46 Finding trigonometric functions and their reciprocals.
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EXAMPLE 1 Use an inverse tangent to find an angle measure Use a calculator to approximate the measure of A to the nearest tenth of a degree. SOLUTION Because.
4.2 Trig Functions of Acute Angles. Trig Functions Adjacent Opposite Hypotenuse A B C Sine (θ) = sin = Cosine (θ ) = cos = Tangent (θ) = tan = Cosecant.
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4.4 – Trigonometric Functions of any angle. What can we infer?? *We remember that from circles anyway right??? So for any angle….
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Sin x = 0.62 Solve for 0° ≤ x ≤ 720°. From the calculator: sin = 38.3°
Flashback Which of the following expressions is the closest approximation to the height h, in feet, of the roof truss shown below? – A. 15 tan.
Extra 5 pt pass if…. You can find the exact value of cos 75˚ with out a calculator. Good luck!!
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(a) To use the formulae sin (A B), cos (A B) and tan (A B). (b) To derive and use the double angle formulae (c) To derive and use the half angle formulae.
November 5, 2012 Using Fundamental Identities Warm-up: Find the trig value for: 1.sec(11π/6) 2. cot(2π/3)3. csc(2π) Find the angle θ for: 4. tanθ = -√35.6.
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