Find all θ in [−π,2π] that satisfy sin(θ) = 1/2. (Hint: there should be two solutions. Which points on the unit circle have y-coordinate 1/2?)

### Want to see the full answer?

Check out a sample Q&A here*star_border*

## Related Calculus Q&A

Find answers to questions asked by students like you.

Q: express sin 0 and cos 0 in terms of t. 2 6. By using t = tan Hence,

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the length of the path over the given interval. (sin 3t, cos 3t), 0 ≤ t ≤ π

A: xt, yt=sin3t, cos3t, 0≤t≤π Here, xt=sin3t, yt=cos3t Now differentiating with respect to t, we get…

Q: Use the Intermediate Value Theorem to show that in the interval [0,1] the equation below has a…

A: Given that: sinx=2x-1

Q: Find the length of the path over the given interval. (2 cost − cos 2t, 2 sin t − sin 2t), 0 ≤ t ≤…

A: x(t)=2 cost − cos 2t y(t)= 2 sin t − sin 2t interval- 0 ≤ t ≤ π/2

Q: Given x sin4t, y = -cos4t, then find at t =.

A: x=sin4t ,y=-cos4t

Q: Use the unit circle to find all values of 0 between 0 and 2n for which 1 sin 0 V2

A: For the solution follow the next step.

Q: Find the length of the curve over the given interval r=1+sinθ over 0≤θ≤2π

A: Given Data The equation of a curve is r=1+sinθ The interval is 0≤θ≤2π The expression for the…

Q: Find all values of 0 in the interval [0°,360°) that have the given function value. /2 sin 0 = 2

A: Click to see the answer

Q: Find all values of 0 in the interval [0°,360°) that have the given function value. sin 0=

A: Click to see the answer

*question_answer*

Q: Show that y = e²(cos x + sin x) is a solution to the equation

A: Click to see the answer

*question_answer*

Q: For cos z cos 3z - sin z sin 3z =0, use an addition or subtraction formula to simplify the equation…

A: cosx cos3x-sinx sin3x=0

*question_answer*

Q: find the four non zero terms in the maclaurin serise for sin h-lx

A: Formula Used: We will need following binomial expansion:

*question_answer*

Q: The period of y = 4 sin 2x is______ , so the x-values for the five key points are x1 =_______ , x2…

A: Known facts: For the function y=AsinBx+C+D, 1. Amplitude is A 2.…

*question_answer*

Q: In the given equation as follows, use the Intermediate Value Theorem and Rolle’s Theorem to prove…

A: Intermediate value Theorem If f is a function which is continuous at a,b and fa<0, fb>0 Then…

*question_answer*

Q: In order to eliminate the parameter from x = 3 sin t and y = 2 cos t, isolate________ and_______…

A: Given x=3sinty=2cost

*question_answer*

Q: express the given quantity in terms of sin x andcos x. sin (3π/2 - x)

A: sin3π2-x

*question_answer*

Q: Suppose v is in the interval (G, T ), with tan v = –3 Find the exact expression for the indicated…

A: Click to see the answer

*question_answer*

Q: use a geoetry formula to find the exact value of the definite interval (-2x+4) dx on the interval…

A: The given function is (–2x+4) with the interval [0,3].

*question_answer*

Q: express the given quantity in terms of sin x andcos x. cos (3π/2 + x)

A: Given: y=cos3π2+x Express the given quantity in terms of sin(x) and cos(x)

*question_answer*

Q: (e) Use IVT to show that there is root of the equation 2 sin(x) = 3 – 2x in the given interval (0,…

A: Click to see the answer

*question_answer*

Q: express the given quantity in terms of sin x andcos x. cos (π + x)

A: Given expression is cosπ+x. To express the given expression in terms of sinx and cosx. Solution: We…

*question_answer*

Q: express the given quantity in terms of sin x andcos x. sin (2π - x)

A: expression in cosine and sine form of sin2π-x We used identity: sinA-B=sinA cosB-cosAsinB

*question_answer*

Q: Find the absolute extremum point(s) of f(x) = e^(1−cos x) on [−π/2, π), if any.

A: Given, f(x) = e^(1−cos x) [-π/2,π)

*question_answer*

Q: Find дх (дхду) 6,e at the point(7,), where g(x,y) = cos(y) [sen(x) + xy].

A: Click to see the answer

*question_answer*

Q: Find all ons of the equation in the interval 0, 27). 2 cos x+ sinx=1 Write your answer in radians in…

A: Click to see the answer

*question_answer*

Q: y = C, sin at + C2 cos at, (a not to be eliminated)

A: Click to see the answer

*question_answer*

Q: Can i get step by step help with problem

A: Click to see the answer

*question_answer*

Q: The smallest positive number for which sin(t) - cos(2t) = 0 is t =

A: Click to see the answer

*question_answer*

Q: 1 Use the Trapezium Rule, with seven ordinates, to evaluate In(sin.r+3)dxcorrect to four decimal…

A: Click to see the answer

*question_answer*

Q: 2 and t is in the 2nd quadrant, then 6 If sint = i) tant = ii) sec t

A: Click to see the answer

*question_answer*

Q: Find the length of the curve over the given interval. r = 6 – 6 sin(0) on the interval 0 < 0 s 2n

A: Click to see the answer

*question_answer*

Q: Find 7'(t), given 7(t) - 4e 2t (3 sin(2t), ,4 cos(4t)). F'(t) =

A: Click to see the answer

*question_answer*

Q: implicitly, if e"(e – 1) + sin(2r + 5y) = In(v7) -- cot(2x) Find

A: Implicit functions are thise functuon in which we can't separate variables. We have to difderentiate…

*question_answer*

Q: Where does the periodic function f(x) = 2ešin (x/2) take on its ex- treme values and what are these…

A: Click to see the answer

*question_answer*

Q: Solve the following trigonimetric equation over given intervals sin2(x/2)=2 over [0, 2π)

A: To Determine: Solve the following trigonometric equation over given interval. [0,2pi)

*question_answer*

Q: make the given substitutions to evaluate the indefiniteintegrals. ∫x sin (2x2) dx, u = 2x2

A: Click to see the answer

*question_answer*

Q: Solve the following equation for 0 on the interval [0, 2n). V3 cot (0) %3D 3

A: cotθ = -33

*question_answer*

Q: Determine the period as requested. 5) Feriod of y 5 sin 4x A) 4 C)2 -1/2

A: In this question, we want to find the period of the given function.

*question_answer*

Q: Find 7'(t), given ř(t) = ( – 4cos( – 5t), 3 sin( – 5t), e*). - - F (t) =

A: Solve the following

*question_answer*

Q: Prove the left side equal to right side in the following : 1 L-1 (s² + a²)² [sin at + at cos at] 2a

A: Click to see the answer

*question_answer*

Q: Find the length L of the curve R(t) = -2 cos(5t) /+2 sin(5t) /+ tk over the interval [3, 6]. L =

A: Click to see the answer

*question_answer*

Q: Why is I cos 0 |never greater than 1 in the first place?

A: Click to see the answer

*question_answer*

Q: Find the first approximation to the root of the equation xe-cosx-0using Regular-Falsi method correct…

A: If y=f(x), then the independent variable x is called the input of the function, and the dependent…

*question_answer*

Q: ) Solve Hhe following equation for X in [o,27) 2 Sin x -Sin t-1=0

A: Click to see the answer

*question_answer*

Q: 7. Find the length of the curve: r = 1 + cos 0

A: Click to see the answer

*question_answer*

Q: Solve by using the melhod T Talse position to to within Find Solutionaccurade 10 X-0.8-6 2 Sinx=0,

A: To find the root of the equation x-0.8-0.2sinx=0, in the interval [0, π/2] using False position…

*question_answer*

Q: 1 - If xy + sin(e) + arcsin Va dy sin 1 + 1 then what is the value of dz at (, 0) || a) b) 4 8 c)-…

A: Here we have to find the derivative of each term with respect to x and then we have to bring all…

*question_answer*

Q: If fx= cos³4x Sin 4x,then F(x) + C is ?

A: Consider the given function. fx=cos34xsin4x Now, find the integration of the function.…

*question_answer*

Q: Derive the following f(t): 1. sin(at)

A: Click to see the answer