Express tan(t) in terms of sin(t), if the terminal point determined by t is in Quadrant IV.

Q: How would you explain the meaning of the sine function toa fellow student who has just completed…

A: The most intelligent approach for this discussion I believe would revolve around the right triangle…

Q: Given that a = arcsin (-), sec B = and tan B < 0, find the exact value of sin(a +B).

A: Given that  α=arcsin-23⇒sinα=-23secβ=54⇒1cosβ=54⇒cosβ=45,tanβ&lt;0

Q: Can the sin x ever be a value greater than 1?

A: We have to find the sinx value

Q: . Express tan t in terms of sin t, if the terminal point determined by t is in Quadrant II

A: It is given that the terminal point determined by t is in the 2nd quadrant of the coordinate system.…

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 sin theta and tan theta if the terminal side of theta lies along the line y= 3x

A:

Q: The period of y = tan x is ________.

A: The period of y = tan x is π.   In fact : graph{tan x [-10, 10, -5, 5]}.   The fundamental branch is…

Q: Use a sketch to find the exact value of sec(sin-1 1/2).

A: Now

Q: What is the value of sin(2x + 3)dx?

A:

Q: Express y in terms of x if the inverse sine of x is equal to the inverse tan of y.

A: Given sin-1x=tan-1y.  Assume θ=sin-1x so sinθ=x. Therefore using identity sin2θ+cos2θ=1:…

Q: The suitable substitution to evaluate sin24(x + 2) dx is

A: Proceed as shown below...

Q: Find the exact value of sin (tan- (1)). OA) _1 V2 B) 1 2 C) V3 2

A: sintan-11......(1) The value of tan-11=tan-1tanπ4 Recall the trigonometric identity…

Q: 7) Find the exact function value If It exists. a) Sin-240° = %3D b) Sec 270° =

A:

Q: Use a calculator to approximate the value to four decimal places. sin 2

A:

Q: Find sin 2x, cos 2x, and tan 2x if tanx=-3 and x terminates in quadrant II.

A: Giventanx=-3 and x is in II quadrantWe have to find sin 2x , cos 2x and tan 2xTo find sin 2x use…

Q: State the half-angle identities used to integrate sin x and cos x.

A: Half Angle Identities are the formulae/relationships used in trigonometric functions to reduce the…

Q: Find the period of the function X(x) = | sin r| + sin |æ|.

A: Given λx=sinx+sinx

Q: Use the definition of the hyperbolic sine to show that sinh x is an odd function.

A:

Q: Find sin 2x, cos 2.x, and tan 2x if cosx 2 and x terminates in quadrant II.

A:

Q: Find the exact value. Зп sin 4

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Q: Express tan(t) in terms of sin(t), if the terminal point determined by t is in Quadrant II.

A: We know the trigonometric relation that,            tan(t) = sin(t)cos(t)

Q: Find the exact value of:

A:

Q: write sin( arccos (2/x)) as an expression in terms of x with no trigonometric functions

A: To write the given expression in terms of x.

Q: What is the ratio of sine of X?

A:

Q: As theta increases from 0 0to 90 0, the value of sin theta tends toward what number?

A: The value of θ increases from  0° to 90°. The value of  sin θ is defined as; θ 0 30° 45° 60° 90°…

Q: Find the exact value of the expression whenever it is defined.

A: (a) sin-1-12=-sin-112                ∵sin-1-x=-sin-1x =-sin-1sinπ6   =-π6                          ∵…

Q: What is the period of y =A sin Bx?

A: The given function is y=A sin Bx. It is known that the period of sine function y=sinx is 2π.

Q: What are the zeroes of the equation r = sin ( θ ) + 8 ?

A: given    r = sin(θ ) + 8

Q: Find sin 2x, cos 2x, and tan2x if tanx=2 and x terminates in quadrant I.

A:

Q: Find the Tan θ given the Sin θ = -1/3 and Sec θ is positive

A: Given  Sin θ=-13 The objective is to calculate Tan θ. Use the following 1. sec θ=1cos θ2. tan θ=sin…

Q: Find / |sin Z| ?

A:

Q: Find the exact value of tan(u + v),

A: find value of sin u , sin v, cos u and cos v

Q: Use a linear approximation to estimate the given number. sin 44 degrees + cos 61 degrees

A:

Q: Evaluate in degrees without using a calculator.      d. sin−1(1)

A: Given problem:- Evaluate in degrees without using a calculator.        d. sin-1 (1)

Q: Plot sin (x) and cos (x) on the same figure, then on the same axis using different colors. Where 0…

A: A graphing utility is used to plot the graph of a function.

Q: Find the five trigonometric functions in terms of t, if sint = - x+1

A: Given:sint=xx+1

Q: in

A:

Q: The value of sin7n from the unit circle is (0,1) '† (1,0) (-1,0) (0,-1)

A: Consider the unit circle given below :

Q: with A in QII, find sec 13 슬 If sin A

A:

Q: Use the half-angle formula for tangent to compute tan(θ/2) given tan(θ)=67/44 where 0&lt;θ&lt;π/2.…

A:

Q: Find the equation of a sine wave in the form y = a sin(bx + c) + d that is obtained by vertically…

A:

Q: Find all solutions to tan 3x = 1, if x is measured in radians withexact values.

A: Find all solutions to tan3x=1.

Q: Use the figure to find the exact value of sin(2x)

A: Using the figure we have to find the sin(2x)=?

Q: State the period length of the function f(x) = -4 sin (27x).

A:

Q: Find the exact value of tan (–1740)°. 2 1

A:

Q: Let tanA=5/12 with A in Q1 and find the exact value for sin(2A)

A: Given: tanA=512, where A is in 1st Quadrant

Q: Use a calculator to solve the equation tan2 x - 3 tan x + 1 = 0 correct to four decimal places, on…

A: To solve the equation,  tan2x-3tanx+1=0 By using substitution, Let u=tanx, u2-3u+1=0