tan^-1(tan(4)) How do you find an angle in the first/fourth quadrant that had the same tangent value as an angle in the 2nd?

Q: Find all points (if any) of horizontal and vertical tangency to the curve                  x = 7 cos…

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Q: Find an equation for the tangent line and the normal line to the graph of √y + 3 = tan(x +y) + 2 at…

A: Please refer the attached image for complete solution.

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Q: Without calculator, find exact value of sin(tan- 80) (show your work)

A: Converting  tan-11160 to sin angle termstan-1ab=sin-1aa2+b2

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A: Use first principle rule and prove that  dydx=sec x tan x, if y=sec x

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A: Here I am attaching image so that you understand each and every step.

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Q: Plot y = B sin(Aπx) cos(x) with a solid line over the interval 0 < x < 3 with the vertical axis set…

A: close allclear allformatclc A = 21;B = 5;C = 3;y1 = @(x) B * sin(A*pi*x) .* cos(x);y2 = @(x) B *…

Q: Using Newton's method, find the root of the equation cos x = 2x near x= 0.5. With an approximate…

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Q: A cone has an altitude of 12 inches and a base radius which increases at the rate of 4 inches per…

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Q: arc tan (2x)

A: Explained below

Q: Find all points (if any) of horizontal and vertical tangency to the curve                x = cos θ,…

A: Given x=cosθ and y=2sin2θ Now we have to find all points on horizontal and vertical tangent line of…

Q: Find all points (if any) of horizontal and vertical tangency to the curve                x = 5 + 3…

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Q: If tanx = (a/b) find the value of (cosx+sinx)/(cosx-sinx)

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Q: Given sec θ = -41/40, and sin θ > 0, determine tangent θ

A: We have to find tangent value from given information.

Q: - Sin (x-꼭)+| %3D

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Q: Since sine is an ---Select---v function and cosine is an -Select--- v function, we have the…

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A: Given the integral is ∫1+sinydy

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Q: Verify please: Tanx(1-cotx)=tanx-1

A: We will use simple trigonometrical ratio to find solution to the problem.

Q: What is sine and cosine. How do I use them?

A: The sine and cosine are the main functions used in trigonometry and are based on right angled…

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Q: Explain how a right triangle can be used to find the exact value of:

A: Known fact: cossin-1x=1-x2secx=1cosx

Q: If  arcsin(x) = 1.25  then  arcsin(-x) = ?

A: It is given that, arcsin x=1.25 Take sine of both sides: sin arcsin x=sin 1.25 Result: sin arcsin…

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Q: Find the distance between the points (-1,1) and (-4,5). Enter the exact value or the value rounded…

A: Use distance formula between two points

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Q: Solve for Angle [0°, 360°): (tan x)² - tanx = 0

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Q: 12. Find an equation of the tangent line to the curve sin(x + y) = 2x – 2y at the point (π, π).

A: Consider the following curve: sinx+y=2x-2y Expand sinx+y using sum formula sina+b=sinacosb+cosasinb:…

Q: 1. arcsin (1/2) 2. cos- (-V3/2) 3. cot- (V3/3)

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Q: Given: An airplane is flying horizontally at a constant height of 1000 meters above a fixed radar…

A: topic - application of derivatives

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Q: The legs of an isosceles triangle are increasing at the rate of 0.5 feet per minute, and the…

A: Given that the length of the legs=b=2 feetThe rate of change of the legs=dbdt=0.5The vertical…

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A: Note: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Your neighborhood movie theater has a 25-foot-high screen located 8 feet above your eye level. If…

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A: Rate of change

Q: Explain how to use a sine curve to obtain a cosecant curve. Why can the same procedure be used to…

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Q: If y = -sin x, what x-value corresponds to a y-value of -1 between 0 and 27? 2 -1 ?

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Q: units, a maximum at (0,4), and a peroid of 180 degrees. Represent the function using both the sine…

A: Follow step 2 .

Q: 3. [sin x cos x dx

A: