Question

(3x-6/x^2+2x-3) / (x-2/x^2+5x+6)

Tagged in

Math

Trigonometry

Find answers to questions asked by students like you.

Q: What is sec^2 81degrees - tan^2 81degrees

A: Formula used:Since

Q: tan theta= 0.70020753Instructions are on the image*Find the 2 angles in the interval [0 degrees, 360...

A: First we take inverse tan and then use calculator to find the value of theta .

Q: Sin theta= 0.52991926Instructions are on the image*Find the 2 angles in the interval [0 degrees, 360...

A: First we take sine inverse on both sides and with the use of calculator, we find the value of theta.

Q: Please explain the solution in a clear manner, step by step.

A: We have to find height of regular hexagon with given information.Information is given below:

Q: Solve the equation on the interval [0,2m) 3 sin (20) 2

A: We are given trigonometric equation as

Q: A plane travels for 3 hours at 300 Km/hr in the direction of S42∘W. How far west and how far south d...

A: Speed of the plane, v = 300 km/hr.The distance covered by the plane in 3 hours, D = vt = 300 x 3 = 9...

Q: Fill in each blank so that the resulting statement is true. The largest possible value for the sine ...

A: We have to fill in the blanks.Question is given below:

Q: Find the period, amplitude, the vertical asymptotes in radians ,the phase shift, the vertical shif...

A: The function given is y=4tan(2π-π/2)-2.

Q: What is the formula for tangent?

A: In a right triangle, the tangent of an angle is the length of the opposite side divided by the lengt...

Q: tanx/1+secx+1+secx/tanx=2cscx

A: Given,

Q: How do you convert the angles in radians to degrees.

A: Click to see the answer

Q: Establish the Identity (csc(x)+cot(x))/(sec(x)+tan(x))=(sec(x)-tan(x))/(csc(x)-cot(x))

A: Proof:The given Trigonometric identity is (csc(x)+cot(x))/(sec(x)+tan(x))=(sec(x)-tan(x))/(csc(x)-co...

Q: form an identity by the following equation 4cos2t + 3sin2t

A: We are given trigonometric expression as

Q: cosx= -0.173648177

A: The equation is given as

Q: without using the calculator evaluate : sin ϴ, cos ϴ, tan ϴ of a) 450° b) 10?/3

A: Since, 360 degrees + thita lies in first quadrant, so values of sine, cos and tan is positive as sho...

Q: Two angles in standard position that have same terminal side are

A: by the definition of coterminal angles

Q: Please explain the solution in a clear manner, step by step.

A: We have to find measure of angle A in degree.We have made a right angle triangle by joining the poin...

Q: Find the amplitude ,the period in radians, the phase shift in radians ,and sketch the graph

A: Consider, the equation y=-2+3sin(3x+2pi/3),In equation, we observe the amplitude is 3.

Q: A point on the terminal side of an angle θ in standard position is(−24, 7). Find the exact value of ...

A: Let x = -24 and y = 7Since r = length of line segment drawn from the origin to the point

Q: Find the amplitude, the period in radians, the phase shift in radians, the vertical shift ,and sketc...

A: We have to find the amplitude, the period in radians, the phase shift in radians, the vertical shift...

Q: A company that produces wakeboards forecasts monthly sales S over a two-year period to beS = 2.6 + 0...

A: a) S = 2.6 + 0.144t + 2.2 sin( pi t/6 - pi/2) when t=1Sale for January 2014 = 84 units (after roundi...

Q: Please explain how.

A: We have given a function f(x).

Q: An airplane flying at 650 miles per hour has a bearing of 55°. After flying for 1.5 hours, how far n...

A: Find the distance travelled in 1.5 hours if the distance travelled per hour is 650 miles.

Q: find the approximate values for all solutions to tan^2t -tan t -6 =0

A: Obtain the approximate values as follows.

Q: Use fundamental identities to simplify the expression cosx-cosx sin^2 x

A: We have to simplify the expression.Expression is given below:

Q: (8tan^2(x)/csc(x)+1)=8(csc(x)-1)(tan(x))^4

A: Firstly, we multiply numerator and denominator by cosecx-1, and then we use the identity that (cose...

Q: Write the trigonometric expression as an algebraic expression

A: The given trigonometric expression is cos [cos-1(1/2) - sin-1 (√x)].

Q: If sinθ = 0.6, then what is tanθ?

A: Formula used:

Q: Please explain the solution in a clear manner, step by step.

A: Given figure is:Labelling the vertices:The figure consists of 5 triangles: ABG, BCG, CGF, CDF and DE...

Q: If 2 angles of a triangle have radian measures (pie/9) and ((3pie)/8), what is the radian measure of...

A: Sum of three angles of a triangle has a radian measure of pi.Let the unknown angle of the triangle b...

Q: Verify

A: Given equation is: From the rules of trigonometry:

Q: Linear Speed on Earth Earth rotates on an axis through itspoles. The distance from the axis to a loc...

A: It is given that, the radius of the spinning circle is 3033.5 miles.

Q: write the given vector in terms of i and j. u= (-8,5).

A: It is given that, the vector u is, (–8, 5).Assume that, the symbol i represents the horizontal direc...

Q: If two angles of a triangle have radian measures9π and 38π , find the radian measure of the thirdang...

A: The sum of 3 angles of a triangle=piLet the third angle be x.

Q: Find the exact values for the unknown sides. You can find the sides in any order.Use the green box a...

A: The diagram is on the board . First we use sin 60 = a/24, and solve for b .Then we use cos 60=a/24 a...

Q: Find the values(s) of θ in [0*,360*), where sin θ = -.5441, Write the answers in positive degrees co...

A: Calculation:The trigonometric equation is sin (θ) =-0.5441.Solve equation sin (θ) =-0.5441 as follow...

Q: Solve csc^2 (pi•x) = 1.5 in the interval (-1,1), Sketch the graph if the function showing the soluti...

A: To solve the trigonometric equation and compare the result with graphical solution

Q: Write the following numbers in the polar form reiθ, 0 ≤ θ < 2π. a.) 1/4 b.) 8 + 8i c.) -4 - 4i ...

A: a) Firstly, we express both sides in the form a+ib and then compare the real part and imaginary part...

Q: Two airplanes leave the airport at the same time, one going northwest(berating 135°) at 414 mph and ...

A: Firstly, we will draw diagram

Q: prove identy show steps sinx/1-cosx - 1/sinx = cotx

A: To prove the given identity, we are taking left hand side,

Q: find tan A and sec A, if A is an angle in standard position with the terminal side is defined by the...

A: First of all we can plot the given point on coordinate axis and draw a relevant triangle for angle A...

Q: Two forces of 468 Newton’s and 561 newtons act on a point. The result and force is 999 newtons. Find...

A: To calculate the angle between two forces which was acting on a point. The provided value two forces...

Q: sin(t)-cos(t)=cot(t)

A: Given problem is sin(t)-cos(t)=cot(t)

Q: Find the exact value of the expressions cos(a B), sin(a B) and tan(a + B) under the following condit...

A: Given,

Q: Verify the equation

A: To establish the given trigonometric identity

Q: Please explain the solution in a clear manner, step by step.

A: Here, we have to calculate AB , where BC=108 feet and angle C=0.5 degree

Q: Solve the following equation on the interval [0,2x) cot(3x) 0

A: It is known that, cosx is zero when x is of the form π/2+(2πn) or 3π/2+(2πn).

Q: Write the sum or difference as a product with positive arguments

A: Given information:The given expression is

Q: 9. 1) Find the period, amplitude, and some key points of the function f(x) = 2 cos 2x-1 2n); (0 x de...

A: To determine the standard parameters of the given trigonometric function f(x)

Q: Rewrite the expression in terms of the first power of the cosine. Use a graphing utility to graph bo...

A: We are given trigonometric expression as