If tan(0) = 7 and sin(0) < 0, then evaluate the following 6 - - functions and show your answers to 1 decimal place. (a) sin(0) = (b) cos(0) = (C) sec(0) = (d) csc(0) (e) cot(0) =

Q: 1+sin 2 x 1) Find the derivative of f(x): 2 cos3 x

A: As per our guidelines we are allowed to solve one question at a time. Kindly repost the rest…

Q: 1. Find the slope of the tangent line at the indicated value for each function. Show all process…

A: Differentiate the given function with respect to x and then put the given value of x in the…

Q: The derivative of any constant is 0. The well-remembered triq identity tells us that sin2(x) +…

A: To verify that sin2(x) + cos2(x) is a constant, we need to show that the derivative of sin2(x) +…

Q: Find the value of x in degrees: sin x = 0.8766

A: The sine function is positive in the first and second quadrant. We can use inverse sine function to…

Q: cOs x tan x 28) lim sin 3x 29) lim x→0 2x x3 + 2x2 + x 30) lim x→-1 x4 + x3 + 2x + 2 x3 – 2x2 + 4x –…

A:

Q: Find the periodic function f(x) = sinx + tan-+ sin- X + 23 + sin 2n+1 + tan ... 2n

A:

Q: 4. cos*x Evaluate: sin' x( sin' 3/5 x+ cos³ x 3.

A:

Q: 1. Find the exact values of sinh (0) and cosh (0) using their definitions.

A: Sinh x=ex-e-x2∴ sinh0=e0-e-02=1-12=0∴sinh0=0      cashx=ex+e-x2∴cash0=e0+e-02=1+12=1⇒cash0=1

Q: 3. Find the value of sin(2x) given that sin x = and x is in QII.

A:

Q: 1 sec- x = cos

A: Given, sec-1x=cos-11x   Check it is True or False:

Q: -1 We can conclude from the derivative of sin-1(x)and cos-1(x) that sin-(x) + cos¯(x) is constant.…

A: Explanation: find the derivative of sin-1x &amp; cos-1x

Q: Find an equation of the tangent line at x = 0. y = x5 + cos(x) .13 (Use symbolic notation and…

A: We have given equation  y=x13+cosx Put x=0  y=0+cos(0)=1 Point on the curve x1,y1=0,1…

Q: b) (cosx+ Sinx)² - Cos x+sinx)(cosx-Sinac) tan 2x 2. c) 1-Cos-x - Sin2oc) Sin X - 2cos x

A:

Q: 12 If sinh x= find cosh x, tanh x, coth x, sech x, and csch x. 35

A: Given, sinh x = 1235   We have to find  cosh x, tanh x, coth x, sech x  and  csc hx

Q: 43. Use the identity cos 2x = cos x cos x - sin x sin x to find the derivative of cos 2.x. Express…

A: cos2x=cosxcosx-sinxsinx find the derivative of cos2x So here use product rule and then find…

Q: Verify the identity: (sin x - sin y)/(cos x - cos y) = -cot (x+y)/2

A: sinx-sinycosx-cosy=2cosx+y2sinx-y2-2sinx+y2sinx-y2=-cosx+y2sinx+y2=-cotx+y2…

Q: Find the derivative and show your complete solution of the following 1. cos(e ^ (2x) + e ^ (- 2x))…

A:

Q: The derivative of cos (x²) Graph y = -2x sin (x²) for –2 < x < 3. Then, on the same screen, graph…

A: We draw the graph of y=-2x*sin(x^2) using graphing calculator

Q: 7x cos()-7x [sin(-2x)sin(5x)sin(7x)] – lim 2x cos(x) lim x-0 5x?

A:

Q: sin x cos" п — 1 n 2 2, | co cos"-2 x d.x Show that for cos" x dx Use this to find cos4. x dx.

A: Given, ∫cos4xdx

Q: the action of a spring can be modeled by the function y=4 cos x- cos x sin x after x seconds  Within…

A: To find the height at which spring has height of 3 feet

Q: Find the extreme values for f(x) = sin(x) + cos(x) on the interval [0, 2π].

A: The given function is f(x)=sinx+cosx   and the interval is 0, 2π. We have to find extrema on the…

Q: -sin^2(x)=cos(2x) from [-pi, pi]

A:

Q: The derivative of y = 3 cos (V1-x²) + (1-x²), can be written as sin ( V1-x² ) – ( 1–x²) }) 3x…

A:

Q: Find the absolute extreme values for f(x) - cosx - sin^2 x on the interval [-pi/2, pi/2] and…

A: Given:       f(x)=−cosx−sin2x;     −π2, π2

Q: Find Critical Points and Extreme Values: f(θ) = 2 Sinθ + Cosθ        on [ -2π, 2π ]

A: Given         The critical point is where  f'θ=0              Here the interval is -2π,2π…

Q: Show that sin(x)  can be approximated by x-x3/6  within 0.01 on the interval [-1,1].

A:

Q: 1+sin 2 x 1) Find the derivative of f(x) 2 cos3 x

A:

Q: If x is in radians, the derivative of sin(x) is cos(x). Find the derivative of sin(x) when x is in…

A: Given, sinx°  We have to find the derivative of  sinx°.

Q: Suppose: sin(x) = -0.1 cos(y) = 0.5 tan(z) = -4.3 Then, sin(-r) =| 0.1 cos(-y) = 0.5 tan(-2) = 4.3…

A:

Q: Find x where 0 ≤ x ≤ 2π. 4 cot²x = cos²x + sin²x - 1

A:

Q: Find the equation of the tangent line at x = 0 to the function f(x) = 2 sin(x) + cos(x)

A:

Q: The first derivative of the function h is given by h' (x) = 3 ln(2 + cos(2x)) x, and the second -6…

A: Given: h'(x)=3 ln2+cos2x-xh''(x)=-6sin2x2+cos2x-1-2&lt;x&lt;2

Q: The first derivative of the implicit function sin 2x = cos 2 A. -cos 2x/sin 2x B. cos 2x/sin 2x C.…

A: To find: The first derivative of the implicit function. Given: The given implicit function is…

Q: )Find the anti derivative for sin(x^2) 2x

A: we have to find the anti derivative of ∫sinx22xdx...............1 first we put in place of x2 =z…

Q: Find a root of f(x) = 6 Sin (x)e- x + 1 using Newton Raphson Method accurate to 5 decimal places.

A:

Q: Find the second derivative of f (z) = 6 sin (4z). %3D Enclose arguments of functions in parentheses.…

A:

Q: If cos(x) = - and sin(y) = - with tan(x) > 0 and cos(y) < 0, algebraically compute the exact value…

A:

Q: sin x and coS x are periodic functions with period Tt. True False

A: Given statement is "sinx and cosx are periodic functions with period π."

Q: Find f'(x), if f(x)= tan² 4.x. Find f'(x), if f(x) = sin² 2x./cos 2x . Find f"(x), if f (x)= Inx+…

A:

Q: 10. Solve the equation for x if 0 < x < 2n. 2 sin x - cot x = csC X

A:

Q: 4. y = Arc tan² x³ 5. Ø = Are cot 2x

A:

Q: Find x where 0 ≤ x ≤ 2π. cos x - tan²x = 1

A:

Q: = cos 30 + sin? tan 2x 1-cot 2x = 2 csc(1 – 3x)

A: Find the first derivative: 7. y=log sin xa 8. y=e3x 9. y=e-bcos 2b

Q: Find the first derivative of y = (x – 1) √ (2x – x2) + arcsin (x – 1) and y = arctan [ (3 sin x) /…

A: y=(x – 1)(2x – x2)   +sin-1(x – 1) y'(x)=d(x – 1)2x – x2   +sin-1(x – 1)dx        =d(x – 1)2x – x2…

Q: Determine the points in the interval (0, 2π) at which the graph of the function below has a…

A: Given function is, f(x) = 10 cos x + 5 sin 2 x The function has its horizontal tangent when its…

Q: Find sin (x/2) cos(x/2) tan(x/2)

A: Given information is :

Q: Find x cos(x)-sin(x) = 0

A: