Answered: Find the exact value of the expression_…

Math

Trigonometry

Find the exact value of the expression_ cos 40° cos 20° - sin 40° sin 20°

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter2: Analytic Trigonometry

Section2.4: Sum And Difference Formulas

Problem 1ECP: Find the exact value of cos12.

See similar textbooks

Related questions

Q: Find the two complex solutions of the quadratic equation x² + 6x + 25 = 0 X1 = + x2 =

A: The given quadratic equation isx2+6x+25=0

Q: For a triangle ΔABC, we have a = 6.8, ∢B = 36°, and ∢A = 71°

Q: Obtain the general solution to the equation. dr ᏧᎾ +rtan 0= 8 sec 0 tan 0 THE The general solution…

A: I am going to solve the problem by using some simple trigonometry to get the required result of the…

Q: Graph the following parabola by moving the vertex and additional key point. X = = (y - 1)² - 2 Note…

Q: whats the answer for the ind

Q: Given the following equation of a circle in general form, find the equation in standard form by…

A: General form of circle 4x2+8x+4y2+32y+52=0 We have to find standard form of circle

Q: Find the endpoints of the latus rectum of the parabola with equation (x + 9)² = -20(y + 5). Provide…

A: We need to find endpoints.

Q: Use well-known trigonometric identities to determine which of the following equations are…

Q: S 55 44 T 37.4 #7 N 120 25

A: In triangle TSR: TS=55SR=44RT=37.4 In triangle QPN, QP=25PN=20NQ=17

Q: In the figure, a triangle is to be formed by drawing a line segment of length a from (4, 3) to the…

Q: The tip of the minute hand of a clock is 6.7 in. from the center of the clock. Find the linear…

Q: Convert the following equation of a parabola into standard form. Select the correct answer below: O…

Q: From the information given below for the oblique triangle, determine what category problems this…

A: From the given data of the triangle determine the category of the problems this belongs to a= 3…

Q: Use the given information to find the exact value of each of the following. a. sin 20 b. cos 20 c.…

A: (a) given, sin(θ)=34given θ is in quadrant II

Q: Write Z1 Z₁ = Z2 = Z1²2 = and Z₂ Find the product 2₁22 and the quotients and (Express your answers…

Q: Find the smallest positive solution x: (sec(x)+4)(sec(x)+4) = 4 Assume radians.

A: The given trigonometric equation is: sec x+4(sec x+4)=4

Q: Given u = -5i - 7j and ỷ = −9i – 4j, find u – v. Select the correct answer below: O -4i + 3j…

Q: #1) 36° x 151m Solve for round to 1 decimal place x

A: We are authorized to answer one question at a time, so we are answering the first question, please…

Q: A triangle has sides a = 4.3, b = 2.5, and included angle ∢C = 51° (opposite side c). Find the…

A: This is question of trigonometry here two side and one angle is given we have to find other angle…

Q: Suppose u = and v= 2,-2.1>. Find the angle between the two (position) vectors u and v. Provide the…

Q: Find the rectangular form of the complex number z that is given in polar form: z = 2.7(cos 1.9 + i…

Q: Each person's blood pressure is different, but there is a range of blood pressure values that is…

A: The person's blood pressure at time t is given by P(t)=-20cos5π3t+100

Q: Find the value of the missing angle (in degrees). Provide a single number as your answer.…

A: I have used the following trigonometric formula and solve the problem. cos(x - y)=cos(x)cos(y) +…

Q: Given the vectors u and V shown below, find u - v. Submit your answer by dragging the endpoints of…

A: A graph of the vectors u and v are given. We have to sketch the vector u-v.

Q: The tip of the minute hand of a clock is 4.7 in. from the center of the clock. Find the linear…

A: This is question of trigonometry here is clock question is given we have to find the velocity of…

Q: Find a poiar coordinate that corresponds to each rectanguiar point. 3√3 (2,313) b. (√2,-√2) a.

Q: Solve the triangle. Round all angles to the nearest degree. A 0° b=10 c=10 a=8 B A (Do not round…

Q: If sin t sint + cost A = tant A + tant then

A: if sin tsin t+cos t=tan tA+tan t

Q: Suppose u = ‹-2.2,1.2› and v = ‹-2.1,-0.7›. Find the angle between the two (position) vectors u and…

A: we have given two vector u = ‹-2.2,1.2› and v = ‹-2.1,-0.7›. We need to find the angle between these…

Q: A hamster wheel of radius 25 cm has a rung that is travelling at a constant speed. The rung makes…

A: We have to find the graph of the height of the hamster. For this first we will find the equation of…

Q: Given the triangle 26/ X = 43° 14° answer to 4 decimal places. X find the length of side x using the…

Q: Jack and Marcy are at an amusement park. Jack is standing 75 meters from a hot air bal- loon ride.…

Q: Find the arc length on a circle of radius 3.9 with central angle 7.9 degrees. Answer: 18

Q: 10. y = cos 2t tan 2t

Q: A. Rewrite the following equation to graphing form. Sketch the graph and determine the vertex, the…

Q: Convert the equation into rectangular form. Then, identify the type of graph and describe any…

Q: Find the asymptotes of the hyperbola below. (y - 1)²(x+3)² 16 4 Use y = + (x - h) + k or y = + (x -…

A: Given:- y-1216-x+324=1 here, center C=(-3,1)=(h,k) a2=16⇒a=4 b2=4⇒b=2 The Hyperbola is Horizontal…

Q: this

Q: Find the values of the six trigonometric functions of 0. Function Value Constraint e lies in…

A: ⇒given, cos(θ)=-2029 and θ lies in quadrant III

Q: Use the given value and the trigonometric identities to find the remaining trigonometric functions…

A: We have given the cos value and we need to solve for all other trigonometric function

Q: A communications tower is located at the top of a steep hill, as shown. The angle of inclination of…

A: Law of sine asinA = bsinB = csinC Let length of the guy wire is denoted by x let angle θ denotes the…

Q: Question 10 Determine the vector that has magnitude 8 and direction angle 295°. Type your answer in…

Q: Find csc-¹(5.8) (in radians). (Hint: Use sin-¹) Answer: b

A: This is question of trigonometry here csc is given we have to find angle further calculation is…

Q: what angle has a sine ratio of 0.2589?

Q: Eliminate the parameter and simplify to convert each pair of parametric equations int form. Then,…

Q: Q.13 If angle A is 45 degrees and angle B is 60 degrees. What is sin (A) cos (B)? ½ (sin (345) -…

A: Trigonometric identity is given by: sinAcosB=12sinA+B+sinA-B Given that A is 45° and angle B is 60°…

Q: Each person's blood pressure is different, but there is a range of blood pressure values that is…

Q: DETAILS LARIRIGIT 3.2.502.XP. To determine the distance between two aircraft, a tracking station…

Q: 3. Find the exact value of each quantity: a) sin² 50° + cos² 50° c) sin 75° b) cos² 135° d) tan4…

A: To find the exact value of each quantity. (a) sin250°+cos250° (b) cos2135° (c) sin75° Note: Since…

Q: Use the Half-Angle Identities to have an exact value for the following (use simplified fractions, no…

A: given cos(A)=2349given angles are in first quadrant

Question

Find the exact value of the expression.
cos 40° cos 20° - sin 40° sin 20°

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Given

VIEW

Step 2: Solution

VIEW

Solution

VIEW

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

Find the exact value of cos12.
Rewrite the expression 4sin7xcos3x as a sum or difference, then simplify if possible.
If we know the values of the sine and cosine of x and y, we can find the value of cos(xy) by using the Formula for Cosine. State the formula cos(xy)= .
Verify the identity tan21+sec=1coscos