Question
Use the addition and subtraction formulas to simplify the expression.
cos(x+y) cos(x - y)
Expand
Transcribed Image Text

Use the addition and subtraction formulas to simplify the expression. cos(x+y) cos(x - y)

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Calculus

Other

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answ...

A: Click to see the answer

Q: In following problem, two linearly independent solutions and are given to the associated homogeneous...

A: Given x2y" + 2xy' - 2y = x2 ,   y1 = x-2,  y2 = x

Q: Let h(x)=f(x)*g(x), and k(x)=f(x)/g(x). Use the figures below to find the exact values of the indica...

A: Given To find h'(0) and k'(-2)

Q: Pkert (K-P)+PgeTt 15. Consider a function P defined by P(t) =-rperi, where Po, K and r are positve c...

A: Given function is P(t)=P0Kert(k-P0)+P0ert where P0,K,r are positive constant. Since r is positive co...

Q: #42

A: The number of children's enrolled E(in thousands) is given by, E(t)=21892-2812.9t1-0.2759t. Where t ...

Q: Evaluate gradø if 9= log(x² + y² +z')

A: Consider that the gradient of a scalar function ∅x,y,z is given by, grad ∅ =i^∂∅∂x+j^∂∅∂y+ k^∂∅∂z Su...

Q: 6. Check whether lim f(x) exists or not, where f (x) is defined as follows. x→-1 5x + 3, x<-1 f(x) =...

A: Given: fx={x3+5, x≥-15x+3, x&lt;-1

Q: If f(x) = |x|, then f(−1) = 1 and f(3) = 3 butf(x) is never equal to f(3) − f(−1)/3 − (−1)=1/2. Whyd...

A: Click to see the answer

Q: Divide the first polynomial by the second. State the quotient and the remainder.x3-3x2-20x+12      x...

A: Click to see the answer

Q: #12)

A: P=$4,000 , r=8%=0.08 Now by using compound interest formula for continuously compounding, we have A=...

Q: Evaluate algebraic expression for the givenvalue or values of the variable(s). 2x + y/xy - 2x, for x...

A: Given: fx,y=2x+yxy-2x for finding value of function at given point we put x=-2, y=4 in given express...

Q: Given y = V4x + 5, find the differential dy when a = 7 and dæ = 0.3. %3| Round your answer to three ...

A: Given data:   The expression for the given function is y=(4x+5)1/2. The given value of x is x=7. The...

Q: sum & difference identities, condense each of t 1. cos25 cos15° – sin25°sin 15° 3. sin140°cos50° - c...

A: Solution :-  

Q: Convert the angle π/2 in radians to degrees.

A: We have to convert angle π2 radian to degrees. we know that  1 radian=180π degree To convert radian ...

Q: 3245 2245z+8 2z+5 gʻ(z) = 224 5z+8

A: Given that: The equation g(x) = ln x2 + 5x + 8x3 + 5x + 8 .

Q: Find the orthogonal trajectories for the family of curves y2 = Cx3 . Use a graphing utility to graph...

A: Given curve is y2=Cx3.

Q: Calculus Question

A: Given: y'+4y=128x  

Q: What is the first derivative of f(x) = ln 3z²+7z ?

A: Click to see the answer

Q: All boxes with a square​ base, an open​ top, and a volume of 200ft^3 have a surface area given by ​S...

A: We differentiate S(x) with respect to x. S(x)=x2+800xS(x)=x2+800x-1S(x)=2x-800x-2S'(x)=2x-800x2

Q: Divide using long division. State the quotient, q(x), and the remainder, r(x) : (3x2 - 2x + 5)/(x - ...

A: Given expression is 3x2-2x+5x-3.

Q: Differentiate  x3 + 2x2 + 5x + 9

A: Click to see the answer

Q: Use transformations of f(x) = 1/x or f(x) = 1/x2 to graph the rational function: g(x) =1/(x + 2)2

A: To determine: Graph of g(x)=1x+22 using graph of f(x)=1x or f(x)=1x2    

Q: Please show the steps to get the answer

A: Click to see the answer

Q: In algebra, the result of the division shown below can be written x +2x +1%3D(x-3)• (D x+5 x-3x²+2x+...

A: Given,        

Q: Psychology: learning. A mathematical model for the aver- age of a group of people learning to type i...

A: A mathematical model for the avg of a group of people learning to type is given by                  ...

Q: . What is the average rate of change of the function g(t) over the interval from t=atot=b? How is it...

A: Suppose gt be a function defined on the interval a , b Then, the average rate of change of the funct...

Q: If f' (2) = 6, and g(x) = 4f(x), what is g'(2)? Do not include "g'(2) =" in your answer. For example...

A: Click to see the answer

Q: Find the limits

A: We have to evaluate limx→9x-3x-9 . If we put the limit then we can see that it is 00 form, therefore...

Q: Absolute maxima and minima Find the absolute maximum and minimum values of the following functions o...

A: Click to see the answer

Q: Sketch the solid whose volume is given by the integral and evaluate the integral.

A: Given:∫π23π2∫03∫r29 r dz dr dθ=∫π23π2∫r29 z03 r dr dθ=∫π23π2∫r29 3 r dr dθ=3∫π23π2  r22r29 dθ=32∫π23...

Q: Change the Cartesian integral to an equivalent polar integral, and then evaluate. LaSV dz dy For cla...

A: The given integral is:  ∫-22∫-4-y24-y2dxdy The cartesian coordinates are given by x, y and polar car...

Q: By about how much will ƒ(x, y, z) = ln√(x2 + y2 + z2) change if the point P(x, y, z) moves from P0(3...

A: The given function is, fx,y,z=lnx2+y2+z2 distance ds=0.1 unit in the direction of 3i+6j-2k    

Q: Solve the equation on the interval 0<0<2x. cot 0 + V3 = csc 0 %3D

A: cotθ+3=cscθ On simplification, we get cosθsinθ+3=1sinθ⇒cosθ+3sinθsinθ=1sinθ⇒cosθ+3sinθ=1⇒12·cosθ+32·...

Q: Please how me how to do section b.

A: Click to see the answer

Q: Evaluate the integrals in ∫ln x dx/x√(ln2 x + 1)

A: Consider the following integral: ∫lnxxln2x+1dx=I Substitute ln2x+1=u→2lnxxdx=du in the above integra...

Q: 8. Evaluate (-3t-2/3 – 4) dt. Enter your answer as an exact fraction if necessary.

A: Click to see the answer

Q: Find an equation of the tangent line to the curve y= 10xat the point (1, 10).

A: Given: y=10x for finding tangent of given curve at given point we need slope m of tangent at given p...