Use the unit circle and the fact that cosine is an even function to find each of the following:     cos ( -135    0)

Q: Use the unit circle and the fact that sine is an odd function to find each of the following:…

A: Evaluate: sin-3π4

Q: Use the given value to evaluate each function. 2 sin(-t) (a) sin(t) (b) csc(t)

A:

Q: Given the following function, choose the graph with the two possible angles with the domain 0 < A S…

A: Solution

Q: Use the given value to evaluate each function. 4 sin(t) 9. (a) sin(-t) (b) csc(-t)

A: a) sin(0-t) = sin0*cost - cost*sint b) csc(-t) = 1/(sin(-t))

Q: 12 3rt tan e Find cos 2.

A: Given that, tan θ=125. We know that, tan θ=opposite sideAdjacent side. Hence, opposite side=12,…

Q: Evaluate if possible the six trigonometric functions at the real number. t = 2π/3

A: To evaluate: The six trigonometric function at . Calculation: The value of can be obtained as, The…

Q: 4. Which of the following values ( in radians ) is NOT in the restricted range of the inverse…

A: Range of inverse cot is 0,π and the only number among those given which lies outside the range is 4.…

Q: Use the exact values of the unit circle and that fact that cosine is an even function to find:…

A:

Q: Use the unit circle to evaluate each function.     tan 5pi / 6

A: Evaluate: tan5π6

Q: Determine the point on the graph of the unit circle that corresponds to -pi. Then find cos -pi and…

A: The given figure is: Determine the point on the graph of the unit circle that corresponds to -π.…

Q: Determine what the sign will be for each trig function. a. sin130 b. cot80 C. sec300 d. csc 240

A:

Q: find the exact value of each expression.

A: Given cos-122

Q: Use the unit circle and the fact that sine is an odd function to find each of the following:…

A: It is known that sine function is an odd function. That is, sin(-x)=-sin x. Therefore,…

Q: f B = 300° find the exact Of each expression: value %3D (a) Sina@ =

A: In first and second quadrant , sine function is always positive.

Q: Identify the graph of the trigonometric functionf(x) cscx (а) (c)

A: Answer is mentioned below

Q: Find the exact value of each expression.

A: To find: Exact value of tan-133.

Q: Graph each of the following on the given interval.    y = 2 sin (3x -pi), - pi/ 3 &lt;= x &lt;=…

A: We have to find the graph of given function in the given interval.

Q: Use the unit circle to evaluate each function.     cos 135    0

A: We have a unit circle as

Q: Find the exact value, if any, of the following composite function. Do not use a calculator. -1 tan…

A: Recall:          tan-1(tan(x))=x, x∈(-π2,π2)

Q: Identify the trig function (sin, cos or tan), the amplitude and period of each of the following…

A: From above figure, the parent function is y=tan(x). Period of given function = 270-(-270) = 540°.…

Q: Use the unit circle and the fact that cosine is an even function to find each of the following:…

A: Given: cos5π6 Cosine is an even function as cos x=cos (-x).

Q: Use Desmos.com to graph the following function, and then choose the points that fall on that…

A:

Q: find the exact value of each expression.

A: Given expression: cos-122

Q: Write each function in terms of its cofunctipn. A. Csc(pi/4) B. Tan(pi/2) C. Sec35 D. Sin74 E.…

A: Write each function in terms of its co-function. (A)   Cscπ4       ⇒Cscπ4=Secπ2-π4    ,…

Q: Use the even and odd function relationships to find exact valuesfor each of the following.   cos (-2…

A: cos (-2 pi/3)

Q: Use the unit circle and the fact that sine is an odd function to find each of the following:…

A: Since sine is an odd function, and for odd function f(-x)=-f(x) Therefore sin(-θ)=-sinθ

Q: Evaluate the function without using a calculator. a. cos ( 300°) b. csc 6.

A: cos(360° - A) = cos(A) csc(π - A) = csc(A).

Q: Write the following function in terms of its cofunction. Зл cot 10 Write your angle in radians, and…

A:

Q: Use the relationship given in the right triangle and the inverse sine, cosine, and tangent functions…

A:

Q: Use the unit circle and the fact that sine is an odd function to find each of the following:…

A:

Q: find the domain andrange of each function Sin'x+\

A: Given that the function is f(x) = 1sin2x+1 To find the domain and range:- Here,  sin2x + 1 ≥ 0 sin2x…

Q: Sketch the graph of each equation by making a table using values of u that are multiplesof 45°.    r…

A:

Q: Fill in each blank with the appropriate word or expression. To graph y = sin(-Bx) for B > 0, first…

A: Odd function: is a function with a graph that is symmetric with respect to the origin (0, 0). To…

Q: Match each trigonometric function with one of the graphs. ]s(2) = cok z

A: Consider the given trigonometric functions and the 4 graphs. It can be noted that in the first…

Q: Identify the graph of the trigonometric function f (x) = cotx %3D (a) (b) UN (c) (d)

A: Given equation  f(x) = Cotx ; To plot the graph of f(x). Substitute the value of x and find the…

Q: Graph each function using degrees. 1 sin 3 1) y= + 210

A: Given,          The function is y=12·sinθ3+210 .

Q: Use the unit circle and the fact that cosine is an even function to find each of the following:…

A:

Q: Determine whether the graph of the given equation will be a line, circle, rose curve, lemnis-cate,…

A: Given equation is: r = 5 + 3 cos theta .................. (1) We know that the equations of limacon…

Q: Given the following function, choose the graph with the two possible angles with the domain O <…

A: Let us first solve sinθ=-23. So,           sinθ=-23⇒θ=arcsin-23+2πn, θ=π+arcsin23+2πn⇒Radians:…

Q: Write the following function in terms of its cofunction. COS Write your angle in radians, and make…

A:

Q: Given the following function, choose the graph with the two possible angles with the domain 0 < As…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: sin(t) = (a) sin(-t) (b) csc(-t) N/7

A: We can evaluate the answers as below

Q: Identify the graph of the trigonometric functionf(x) cscx || (a) (b) (c) (d)

A: We will derive some values of CSC(x) using SIN(x) and draw the graph

Q: Use the unit circle to evaluate each function.     tan 330    0

A: Given:tan 330°

Q: Use the given value to evaluate each function. .חCCIO sin(t) : 7 %3D (а) sin(-t) (Б) csc(-t)

A: sin(-t)=-sin(t)cosec(-t)=-cosec(t)csc(t)=1sin(t)

Q: Use the given value to evaluate each function. 5 sin(t) 6 (a) sin(-t) (b) csc(-t)

A: Trigonometric value

Q: Use the unit circle and the fact that sine is an odd function to find each of the following:…

A: Given:cosu=-14cos-u=?Even function:cos-x=cosx

Q: For each of the following trigonometric functions, determine the period, shifts and sketch one…

A: The trigonometric functions are: a) y=− csc(2x) b) y=tan2x −π2

Q: Find the exact value of each composite function. 4T a) tan- tan b) cos cos

A: 1.)sin-1(sinx)= x,  x∈-π2,π22.)cos-1(cos(x))=x, x∈0,π3.)tan-1(tanx) =x, x∈-π2,π2

Q: Find the exact value of each expression: tan 1 V3

A: We have to find exact value of the expression: tan-13 We know the exact value, tan π3=3 Therefore,…

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.