Find the exact value of the expression using the provided information.Find tan(s - t) given that sin s = - (3\sqrt(13))/(13), with s in quadrant IV, and sin t=(\sqrt(10))/(10) with t in quadrant IV

Q: S sin? (x)cos(x)dx

A: Let the given integral be y - y = ∫sin2(x)cos(x)dxLett = sinxdtdx = cosxdt = cosxdxSubstituting…

Q: Find the exact solutions of the equation in the interval [0, 2x). tan(2x) – cot(x) = 0

A: In order to find the values transform the equation on the left side equation in a single…

Q: 2. A ball travels in a circle at 3 radians/s and starts on the positive x-axis. How far away is the…

A: Let 'w' be the angular speed of the ball travels in a circle.  Thus, w= 3 radians/s.  Let 't' be the…

Q: Reduce sin 0 to an expression involving only function of multiples of 0, raised to the first power.

A: Given, sin4θ  We have to reduce sin4θ to an expression involving only function of multiples of θ,…

Q: Find the period and amplitude of the function. 2n y=-4 sin x- 3 Give the exact values, not decimal…

A: If y=AsinBx is a function then its amplitude is A and its period is 2πB.   The given function is…

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. csc(x) = 4, tan(x) < 0 sin (2x) =…

A:

Q: Find the amplitude and period for the function y = −2 sin( 12 x).

A: Given:     y=−2sin12x

Q: 4. Find the exact value of tan 45°. Enter your next step here

A: The exact value of tan 45∘can be calculated on the basis of geometric property i.e., The direct…

Q: sin 2tan

A:

Q: Find sin2x and cos2x, given that tanx=-4/3, and pi/2 less than or equal to x less than or equal to…

A:

Q: Find the value of x  tan3x = sin450 cos450 + sin300

A:

Q: tan x = 0

A: tan x = 0 The solutions of this equation are of the type x = nπ

Q: Solve the equation on the interval [0,2x). tan x( cot x- 3) =0

A:

Q: Use the sin difference formula and exact values of trig functions to verify the identity: 2 sin(x- )…

A: sin(A-B)=sinA cos B- cos A sinB

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

A: Obtain the approximate values as follows.

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. csc(x) = 4, tan(x) < 0 sin(2x)…

A:

Q: Find a value of x that satisfies the equation sin 13° cos (x). %3D

A: We know that Sin(x)=Cos(90-x). so...Sin(13)=Cos(90-13).

Q: $66)= Sinx+ Cos>x.

A:

Q: (b) Use the graph of cos x to determine where cosx is positive and where it is negative. (c) Explain…

A:

Q: Find an equivalent expression for sin 4x in terms of function values x sin 4x =

A: power series of f(x) about x =a is  f(x) = ∑h=0∞ fn(a)n! (x-a)n ------- (*)

Q: Solve the equation on the interval [0,2x). cot x(tan x+ 1) = 0

A: Equations involving trigonometric functions can be solved by simplifying the equation first and then…

Q: Find the exact value, in radians, of the expression. sin - 1 sin V2 (Type an integer or a fraction.)

A: We will use the unit circle  Unit circle is in the form (cos,sin)

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. sec(x) = 8, x in Quadrant IV sin(2x)…

A:

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. csc(x) = 6, tan(x) < 0 sin(2x) =…

A: Given

Q: Using Newton Raphson method, find a root correct to 3 decimal places of the following. 2 x tan x = 1

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

Q: 18. r = [(2 tan³ 20) – 1)] 트

A:

Q: Find a value of x that satisfies the equation sin 53° = cos (x). %3D

A:

Q: Show use of variable substitution to factor and solve over (0,2pi) when necessary. 3. 2tan2 θ +…

A: In the question we have to find the value of θ

Q: Find the tan x/2 = (1-cosx)/sinx under the conditions where tanx=-1/3 and cosx &gt;0. Draw a right…

A:

Q: Find the exact function values for sin(2?) , cos(2?) ??? tan(2?) when cos(?) = −√5/5 ??? sin(?) > 0.

A: cosx=-55, sinx&gt;0 By using the identity sin2x+cos2x=1, we get…

Q: Find all solutions to the equation sin x = −0.7 with −1 ≤ x ≤ 10

A: topic - inverse trigonometric functions

Q: Determine the domain and the range of the function f(x) = sin-1 x + cos-1 x

A: To determine domain and range of the given function.

Q: Find an equation for the line tangent to the curve at the point defined by the given value of t. x…

A:

Q: Find a value of x that satisfies the equation sin 53° Cos (x). %3D

A: Given : sin53=cosx

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. csc(x) = 6,   tan(x) &lt; 0…

A: Given informationCosec(x) = 6, tan(x) &lt;0

Q: Using differential, find the approximate value for sin(29°). (29° means 29 degrees)

A:

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

A:

Q: sin(x - y) tan x cot y-1 cos x sin y

A: Givensinx-ycosxsiny= tanx coty-1

Q: Find the exact function value. 3n sin 4

A: We have to find the exact function value for sin-3π4.

Q: 19. 0 = Arccos 1 – x

A:

Q: where does the function 1/sin(x) not exist? what happens if we try to calculate any of these values?

A: We have to find the values where function values doesn't exist.

Q: , given tan x = -4 and cos x < 0

A: Given that tan x and cos x both have negative values , So, the value of x must lies in 2nd quadrant…

Q: Solve the equation on the interval [0,2x). cot x tan x+ 3.

A: Equation given in the question is: We can solve each part separately as follows:

Q: Using Newton Raphson method, find a root correct to 3 decimal places of the following. xe* – cos x =…

A:

Q: When a pendulum 0.5 m long swings back and forth, its angular displacement O from rest position, in…

A: Given    Diagram we have a triangle with the vertical angle as Ø, the hypotenuse 50 cm (the…

Q: Find sin 2 x, cos 2x, and tan 2xfrom the given information. sinx=8/17, x in QII

A: We have given the value of the  trigonometric ratios of sinx  Sin(x) = 8/17

Q: Choose the right expression in terms of a single trigonometric function. sin 7x cos 2x – cos 7x sin…

A:

Q: If s sec? x- 2010 P(x) Sin2010 then value of P is Sin2010

A:

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.