6. Suppose that < 0 < n and sin 0 = . Find the other 5 trigonometric functions evaluated at 0.

Q: 1 Use the Trapezium Rule, with seven ordinates, to evaluate In(sin.r+3)dxcorrect to four decimal…

A:

Q: 18. Use periodicity to express sec in p given that sin

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Q: If y = tan?[sin³e]? y' will be equel to 2.834 × 10-3 at 0

A: Given: y=tan2[sin3θ]To find the y'=? at θ=π6

Q: Let sin s=--, with s in quadrant IV and let cos %3D II. Find cach of the following. 4. cos (s +1) 5.…

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

Q: 5. Given that 2 sin 20 = cos 20, a) show that tan 20 = 0.5. b) hence find the values of 0, to one…

A: given that 2sin2θ=cos2θ to prove that tan2θ=0.5 proceed as follows  2sin2θcos2θ=1tan2θ=12tan2θ=0.5

Q: find the extreme values on the interval g(θ) = sin2 θ − cos θ, [0, 2π]

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Q: find the four non zero terms in the maclaurin serise for sin h-lx

A: Formula Used: We will need following binomial expansion:

Q: Prove the following inequalities (ii) -10|< sin 0 < |0| and -|0| < 1– cos 0 < |0|

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Q: Given that the sin x = 2/5 and cos x = -1/4 with sin x in Q1 and cos x in Q3, find sin( sin x - cos…

A:

Q: 3. If cos x =- Find the sin x and tan x in the interval 13 XE

A: Given:        cosx=-513  we know that                      cosx=adjacenthypotenuse…

Q: 9. Find the other trigonometric functions of 0 of sec 0 3 and 0 does not terminate

A:

Q: If z = x* tan2, find at (1,1). дхду

A: Note: We will answer only first question as you haven't mentioned which question you would like to…

Q: 口 | 1. What is the frequency of the periodic function 5 sin() f(x) = %3D 3.

A: Given Data: Equation: fx=5sin3θ49 ......1 The general equation of the sinusoidal function.…

Q: What values of x, within the in s 2x + 10 sin x - 7= 0?

A:

Q: For what values of x can we replace sin x by x - (x3/3!) and obtain an error whose magnitude is no…

A:

Q: Suppose v is in the interval with tan v =-11. Find the exact expression for the indicated quantity.…

A: Given tan v = -11 And v belongs to (π/2, π)  That is v belongs to second quadrant.  To find cos(-v)

Q: Prove the following inequalities -10|< sin 0 < |0| and -10| < 1– cos 0 < |0|

A: Given the inequalities         -θ≤sin θ≤θ and -θ≤1-cos θ≤θ. Prove it.

Q: a. sin x = x – 1, а. (1,2) - b. In x = tan-1x, (3,4)

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Q: Find the exact values of the following expressions. Decimal approximations will receive no credit!…

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Q: If cos x is replaced by 1 - (x2/2) and |x |&lt;0.5, what estimate can be made of the error? Does 1 -…

A: We’ll answer the second question first. Notice the question have used first two digits of Maclaurin…

Q: Use a calculator to solve the following equation for 0 on the interval sin (0) = 0.168

A: using calculator we have to solve the given equation for θ on the interval -π2,π2sin θ=0.168

Q: 2. Apply the properties of even and odd functions to find the exact va a. sin(-120°) (-#) c. sin…

A:

Q: 40 a) Find sin' xcos' xdx by using substitution u = cosx.

A:

Q: How do you solve this and can you show me step by step?

A: Given equation is

Q: Refer to the graph of y = sin x or y = cos x to find the exact values of x in the interval [0, 4p]…

A:

Q: 1. Differentiate the following with respect to the variable given. 1 cosx 2 sin x tan 2. Given the…

A: We can solve the given problem as follows:

Q: 1 + sin² (x) dx sint(x)cos (x)

A: We have to find the integral.

Q: (e) Use IVT to show that there is root of the equation 2 sin(x) = 3 – 2x in the given interval (0,…

A:

Q: 35. Use property IV of Appendix A to verify that 1 L'{arctan(a/s)} =sin at

A:

Q: If S(x) = - cos(x), then s ()(x) is equal to A – sin(x) - cos(x) В sin(x) cos(x)

A: Since you have asked multiple question,as per our guidelines we are supposed to answer only one…

Q: 2. Suppose tan x = 3 -- with < x < 2n. Find the exact value of cos ). Show you work carefully. ensem…

A: Given problem:- tan(x) =-4/3 with 3π/2 &lt;x&lt; π To find:- Exact value of cosx2)

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. sec(x) = 6, x in Quadrant IV sin(2x)…

A: Answer and explanation is given below

Q: 4. Establish the identity using the sum and difference formulas: sin (m – 0) = sin 0

A:

Q: 278. Suppose that sin(ln x) = 3, and that sin(ln y) = }. If 0 < ln x < and 0 < ln y < , use the…

A:

Q: Refer to the graph of y = sin x or y = cos x to find the exact values of x in the interval [0, 4p]…

A: Sketch the graph of function y=sinx as shown below.

Q: 5) prove that = sin 'x +e using method of trigonometric substitution.

A: To Prove- Prove that ∫dx1 - x2 = sin-1x + c using method of trigonometric substitution.

Q: 5. Evaluate 1. , sin(x?) dx

A: #1 intregal

Q: 4. Use Walli's formula to evaluate 2 sin*x cos°xdx.

A: Given integral is as below:-                  ∫0π2 sin4xcos9xdx

Q: If sin A =2/3 with A in the interval 0° &lt;= A &lt;= 90°, find       tan A/2

A: Given: sin A = 23   with  0° ≤ A ≤ 90° To find: The value of  tan A2.

Q: 17) Prove the following: a) (sin x)(sec x)(cot x) 1

A: Since secx=1cosx  and cotx=cosxsinx Then LHS =  sinxsecxcotx=sinx1cosxcosxsinx

Q: -4 sin(0) – 4 = -2/3 – 4

A: We use Trigonometry table to solve this Question

Q: 9 Suppose that a cos x = 1 + sin x, where 0° < x < 90°. a a Prove that 1 = t, where t = tan x. a + 1…

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Q: If sin A =2/3 with A in the interval 0° &lt;= A &lt;= 90°, find       sin A/2

A: sinA=23,   0≤A≤90° By using the identity sin2A+cos2A=1, we get…

Q: 12. Find the exact simplified function value of tan (2a). 4 where TTSAL 3T 2. Given sin a= -

A:

Q: Show that : |sin x |= CoS nX Σ n2 even 414 2/7

A:

Q: 4. Write an equivalent expression for sin*(x) that does not contain powers of trigonometric…

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Q: Suppose that 3π/2≤θ≤2π,  csc(θ)=11/4, find sin(θ)=______. (round to 3 decimal places)

A:

Q: Assume sin(0) = 12 where 0 < 0 <. Compute the following in terms of x. tan (20) cos (2) - -

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.