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Warm Up Evaluate each of the following.1) cos (150 ○) 2) sin (360 ○) 3) 4) ) ) 7) tan(240○) ) csc(-225○) 9) cot(20π/3) ) 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° Sec75°
sin(A + B) = sinA cosB + cosA sinB sin(A - B) = sinA cosB - cosA sinB Memorize these sin(A + B) = sinA cosB + cosA sinB sin(A - B) = sinA cosB - cosA sinB Examples Calculate: Sin(7π/12) Csc(7π/12)
Memorize these Example: Calculate
Half Angle Identities… (You do not have to memorize these)
Use the half angle identity to evaluate…1. tan(π/8) 2. sin(105°)
9-2 Sine and Cosine Ratios. There are two more ratios in trigonometry that are very useful when determining the length of a side or the measure of an.
Warm Up May 8 th Evaluate each of the following. 1.tan(570°)2. csc(11π/6) 3.cot(5π/2)4. sec(-210°) Solve for θ if 0°<θ<360° and 0<θ<2π 5. sinθ = √2/26.
Warm- Up 1. Find the sine, cosine and tangent of A. 2. Find x. 12 x 51° A.
Check it out Does the sin(75) =sin(45)+sin(30) ?.
Sec 2.1 Trigonometric Functions of Acute Angles October 1, 2012.
Pg. 362 Homework Pg. 362#56 – 60 Pg. 335#29 – 44, 49, 50 Memorize all identities and angles, etc!! #40
Sections 14.6 & Negative angle identities: ** the reciprocal functions act in the same way (csc, cot- move the negative out front; sec- can drop.
The Unit Circle and Circular Functions Trigonometry Section 3.3.
Practice Evaluate each of the following.
5.2 Sum and Difference Formulas Objective To develop and use formulas for the trigonometric functions of a sum or difference of two angle measures Ain’t.
1 Special Angle Values DEGREES. 2 Directions A slide will appear showing a trig function with a special angle. Say the value aloud before the computer.
TOP 10 Missed Mid-Unit Quiz Questions. Use the given function values and trigonometric identities to find the indicated trig functions. Cot and Cos 1.Csc.
1 7.3 Evaluating Trig Functions of Acute Angles In this section, we will study the following topics: Evaluating trig functions of acute angles using right.
COMPOUND ANGLE FORMULAE.
4.3 Right Triangle Trigonometry Objective: In this lesson you will learn how to evaluate trigonometric functions of acute angles and how to use the fundamental.
Lesson 46 Finding trigonometric functions and their reciprocals.
Aim: What are the identities of sin (A ± B) and tan (A ±B)? Do Now: Write the cofunctions of the following 1. sin 30 2. sin A 3. sin (A + B) sin.
2/27/2016Pre-Calculus1 Lesson 28 – Working with Special Triangles Pre-Calculus.
14.2 The Circular Functions
EXAMPLE 1 Use an inverse tangent to find an angle measure
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.
Applying Trigonometric Identities: Sum and Difference Formulas Big Idea: The following double angle trigonometric identities are printed in every Regents.
4.4 – Trigonometric Functions of any angle. What can we infer?? *We remember that from circles anyway right??? So for any angle….
8-3 Trigonometry Part 2: Inverse Trigonometric Functions.
13.2 – Define General Angles and Use Radian Measure.
7.3.1 – Product/Sum Identities. So far, we have talked about modifying angles in terms of addition and subtraction Not included within that was the case.
Copyright © 2014, 2010, 2007 Pearson Education, Inc. 1 Objectives: Use the formula for the cosine of the difference of two angles. Use sum and difference.
Sin x = Solve for 0° ≤ x ≤ 720°
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 20°
Extra 5 pt pass if…. You can find the exact value of cos 75˚ with out a calculator. Good luck!!
Trig Graphs. y = sin x y = cos x y = tan x y = sin x + 2.
WARM UP Evaluate a)2sin 2 135°– 5 tan (-45°) b)3cos 2 210°+ sin 315°
Section 13.1.b Solving Triangles. 7.) Find the angle Ɵ if cos Ɵ = (Read as “the angle whose cos is:___”) Be sure you know the mode your calculator.
(1) Sin, Cos or Tan? x 7 35 o S H O C H A T A O Answer: Tan You know the adjacent and want the opposite.
6.5.3 – Other Properties of Inverse Functions. Just like other functions, we need to consider the domain and range of inverse trig functions To help us.
Warm Up If name is on the board put HW on the board Complete the warm up on the board with a partner. Section 8.3.
W ARM UPM AY 14 TH The equation models the height of the tide along a certain coastal area, as compared to average sea level (the x-axis). Assuming x =
6.2.2 The Trigonometric Functions. The Functions Squared sin 2 ( ) = sin( ) 2 = sin( ) * sin( ) sin 2 ( ≠ sin ( 2 ) = sin ( * )
Double Angle Formulas. Let sinA=1/5 with A in QI. Find sin(2A).
(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
Evaluating Sine & Cosine and and Tangent (Section 7.4)
1 Special Angle Values. 2 Directions A slide will appear showing a trig function with a special angle. Work out the answer Hit the down arrow to check.
Chapter 4-4: Sin, Cos, and Tan Identities. Pythagorean Identity: Basic Equation of a Circle: Applying what we learned in 4-3: Correct Notation: Unit Circle.
Memorization Quiz Reciprocal (6) Pythagorean (3) Quotient (2) Negative Angle (6) Cofunction (6) Cosine Sum and Difference (2)
Basic Trigonometric Identities In this powerpoint, we will use trig identities to verify and prove equations.
Section 5.5. In the previous sections, we used: a) The Fundamental Identities a)Sin²x + Cos²x = 1 b) Sum & Difference Formulas a)Cos (u – v) = Cos u.
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