7. Find the exact value for each of the following: [You may want to sketch pictures to help show your work and make sure your answer falls within the domain and range of the given function.] a) arcsin(sin(-)) b) sin(tan-15)

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

A: We have the given trigonometric expressions as (a) sin-1sin-π2(b) cos-1cos0(c) tan-1tanπ4 As we know…

Q: 3 1. Given that the sin 0 = find the third side of the right triangle and then find the 7 exact…

A: Topic- trigonometry ratio

Q: 1 If sin z = x in quadrant I, then find (without finding x) 9 sin(2a) cos(2a) tan(2r)

A: Solution is given below..

Q: Find the exact value of each of the remaining trigonometric functions of θ .

A: The cosine function is negative for argument in the second and third quadrant. The sine function is…

Q: 7. Find the exact value of each real number y in radians. (a) y = sin-() (b) y = arccos(-) (e) y =…

A: We are solving the question number 7 of first three subpart and for the next subpart post the…

Q: 4 5. Given that sin 0 and tan 0 < 0. Find the other five trigonometric functions of 0 5

A: Given that sin(θ)=-45 and tan(θ)&lt;0.We have to find other five trigonometric functions of θ:

Q: 8. If cos(a) = -, and tan(a) is positive, find the other five trigonometric functions for a. Find…

A:

Q: Find a possible formula for the trigonometric function whose values are in the following table. 4. y…

A:

Q: 14. By use of calculator and sketch graphs, find all possible solutions of the trigonometric…

A:

Q: .1 Without the use of tables or a calculator prove that 1-cos 2A = tan A sin 2A 2 Hence, calculate…

A: We have to prove this

Q: A ball attached to a spring is raised 2 feet and released with an initial vertical velocity of 3…

A:

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. sin(x) = - 3 x in Quadrant III…

A:

Q: 3x Use the unit circle to find the value of tan and periodic properties of 15x trigonometric…

A: From the unit circle we know that: cos3π4=-22sin3π4=22

Q: 1. Suppose sin(0) =. Find the length of the hypotenuse, h:

A: GIVEN sinθ=13

Q: 4-if sin-10.6 = y find y and all six trigonometric functions from the following figure, find b, all…

A: Since sin-1(0.6)=y

Q: 10. Find the exact value, if possible. a. arcos(1/2) b. arcsin(0) arctan(0) d. sin- sin-) с.

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 1. Find the exact values of the following, if they exist. a. sin- V2 2. b. arcsin(-) C. sin-12

A:

Q: 2. Find the exact value for the following without using a calculator. V2 + arcsin(-1)) sin arccos

A: We have to use inverse trigonometric functions.

Q: Find a possible formula for the trigonometric function whose values are in the following table. 0. 3…

A:

Q: 4. Given that sin 0 =- and let 0 be in second quadrant. 3 7 Find the values for all six…

A: A detailed solution is given below

Q: 3. Given that sin x = and cos y = - -17, such that both x and y are in the same quadrant. Without…

A:

Q: 8. Find the exact value of the following trigonometric expression. Show your work. 1 tan 135° +…

A: Solving

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

A: To find the exact value of the expressions.

Q: Highlight the difference between the  Graphs of sin t and cos t.

A: To find: The difference between the graph of sin t and cos t. Calculation: The graph of sin t is…

Q: 5. What is the purpose of using Odd and Even functions in Trigonometry? Also, indicate if sin 0, cos…

A: Graph of odd functions are symmetric about origin. i.e If  function f(x) is odd function, then f(-x)…

Q: 4. If sin(a) : and tan(a) > 0 Find sin(2a)

A: Given query is to find the value of indicated trigonometric function.

Q: 1. What is the exact value of: sin(arctan (-}) + cos-!(÷))

A:

Q: (1) Previously, the known values of the sine and cosine function that we listed around the unit…

A: For 75°    sin75°  =  sin(30° + 45°)  =  sin30°cos45° + sin45°cos30°  =  12x12+12×32  = 3+122  =…

Q: 2. Find the values of other trigonometric identities if sin 0 3 and tan 0 > 0.

A: Explanation of the answer is as follows

Q: 2 find the remaining trigonometric functions. 2. If tan e = sin 0 = cos e = tan 0 =

A:

Q: Find the exact value. (a) sin( (b) arctan (-) (c) arccos (cos())

A:

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

A: (a) Given expression is sin-1sin5π4. We know that, sinπ+θ=-sinθ Therefore,…

Q: find the exact value of arctan(tan(5*pi/4))

A: Find the exact value of   arctantan5π4

Q: Find the exact value of all six trigonometric functions for secθ= 2 √5 where θ is in Q IV.

A:

Q: 5. If 0° < 0 < 90° and tan 0 =, find sin 0 using trigonometric identities. 3/5

A:

Q: Suppose cos 0 : and 풍 <θ<ㅠ .Find he exact value of tan 0 .

A: Given,            cosθ=-25 and π2&lt;θ&lt;π.

Q: 1. Find the exact values of the following, if they exist. a. sin-1 v2 b. arcsin(-) 2 C. sin-1 2

A:

Q: The graphs of ƒ (x) and g(x) = f (x + k) are below. What is the value of k' 2 4 5 6 789 -2 -1 sin…

A:

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

A: solution: (a) sin(2tan-1512) we know that 2tan-1 (x)=sin-12x1+x2 , Here x=512…

Q: Suppose that sin u > and cos v = 13 such that bot and v in the and quadrant. as are • What is the…

A: Here, the given values are: sin u=513 &amp; cos v=-35 So, u and v are both in 2nd quadrant.

Q: 5. 9. If cos A= with 0 < A < n, find sin 2A and cos 2A. 13 10. Use the HAI to find the exact value…

A: 9) Given that,  cos A = -5  13   with 0&lt; A &lt; π To find the sin 2A and cos 2A cos2 A = 1- cos…

Q: 3 If cos z = =, x in quadrant I, then find (without finding x) sin(2z) cos(2r) tan(2z) %3!

A:

Q: Find the values of the other trigonometric functions of 0 given that sin 0 2

A: Explanation of the answer is as follows

Q: 2. How is the following trigonometric function translated on a graph? f(0) = tan(30- 210°) + %3D O…

A: Given, The trigonometric function  fθ = tan3θ-210°+12   We have to find the translation of the…

Q: 10. Find the exact value, if possible. a. arcos(1/2) b. arcsin(0) c. arctan(0) d. sin-1

A: To find  a) arcos(1/2) b) arcsin(0) c) arctan(0) d) sin-1(√2/2)

Q: 2 If sin x x in quadrant I, then find (without finding x) : sin(2x) cos(2r) tan(2x)

A:

Q: 5. Use identities to find the indicated value. tan 0 12 A < 0 <- Find sin(20) 5* 2'

A: To find the value of

Q: 2. Find the exact value of each expression. a. sin(sin-1 b. cos [arcsin (-)) C. sin-1 11n

A:

Q: 2. Use a calculator to find an approximate radian angle measure rounded to the nearest 1,000th. a)…

A: d).  Given, cos-1-0.35 By using calculator, we get cos-1-0.35=1.928367≈1.928

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.