17. Show that if tan e = c and 0 < e <7/2, then cos e = 1//1+c2. Hint: Draw a right triangle whose opposite and adjacent sides have lengths c and 1.

Q: 19 If x= cos 30 and y = sin 30 , then O a.-3 cot 30 O b. 3 tan 30 O C.-3 tan 30 o d.- cot 30

A: We have to find the differentiation like in the parametric form of differentiation . We have the…

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Q: In AXYZ, the measure of ZZ=90°, YX = 37, ZY = 12, and XZ = 35. What ratio represents the sine of ZX?

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Q: Use Figure 22 to find all angles between 0 and 2π satisfying the given conditions.

A: We use the quotient property of trigonometry

Q: Given that tan² O +1 00|m O ± IN 11 8 000 = 100 8S 3 8, what is the value of sec e?

A: I have stated the used formula in the solution.

Q: 7. Let tan u = and sin v = , with n <u < and < v<T. Find the exact value of sin(u – v). 13

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Q: 3 with A e QIII , find sin2A 8 7. If cos A =--

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Q: below. Ente an Wer to in nearest thousandth. 6 A cos A =

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Q: A, = AP, cos (lot + 20) Az=APz sin (lot - 40) when A, lagS A, by 210, since A, may be written as :-…

A: If, X=B1sinωt and Y=B2sinωt-θ, then, it can be said that Y lags X by an angle θ .

Q: Prove the relationship 1) arcsin  A + arccos A = 900

A: Prove the given identity,

Q: If cos e = V2 and n <0< 2T, what are the values of sin O and tan 0? 2 O sin e = tan O = -1 O sin e =…

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Q: Find, if y=3cose+cos³0 do, and x = sin³0

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: Given that sin' (x) and cos (x), show that sin(a+B) = 1 %3D

A: Use the identities of inverse trigonometric function.

Q: The period of y = 4 cos(5a) is O False. O True.

A: Please see the below explanation.

Q: 7 4 CO 5 3.

A: we have to find left hand limit and right hand limit if both equal  then limit exist

Q: If w=f(a,b,c)=cos(ab)sin(b)+c, what is at ( -,6

A: Given function and point is  w=f(a,b,c)=cos(ab)sin(b)+c and 12,π3,6

Q: In right ∆QRS, Angles Q and R are the acute angles. If tan Q = √51/7, determine cos R.   √51/10 ≈…

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Q: If tan ☺ =3, T e<3T Find the exact att valce AJ sin 6

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Q: equation o4 whose curuature +ind an is K = % .

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Q: 12. Explain why using trigonometric substitution with x = a tan u often involves a triangle with…

A: Consider the right triangle below with angle u , opposite side x and adjacent side a.

Q: For what values of a and b is sin bx tan 2r lim 0?

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Q: If (Mesin(2) dx = e°sin(2») + C, then the M is equal to

A: On solving this we will get

Q: Given ∆JKL, sin K= , cos K = , tan K = \

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Q: If sin a and cos a3D 13 12 what is the value of sec. 13 %3D O 13/2 O 13/2 17 O 17/2 26 O 7/2 26

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Q: To evaluate tan z cos z dz, we may substitute u= cos z.

A: Given,          ∫tan3xcos2xdx

Q: 13 Given : tau e = u and ☺ B in Qundrant I. Show that Sin O %3D VItu?

A: Given: To show: Graph:

Q: Draw the following graph on the interval – 210° < x < 390°: y = 3 cos(x) – 2.5 600

A: y=3cosx-2.5 to graph the function we need a few points x y=3cosx-2.5 -180 -5.5 -90 -2.5 0…

Q: Suppose that Cos t = whe re a.) what is the exact value of sin t? b.) what is the exact value of tan…

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Q: Use Figure 22 to find all angles between 0 and 2π satisfying the given conditions.

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Q: Find the reduction formula for tan x . (ie Stanxdx= ? Using this find Sten'xdx .

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Q: 16. Complete the following table of signs: ө sin 0 cos e tan 0 cot 0 sec 0 csc e 0 < 0 < <A < : 2 Зл…

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Q: Let sin s = 1/3, with s in quadrant II and let cos t = 3/4, with t in quadrant I. Find the follwing:…

A: Given : sin s = 1/3 in ll quadrant , cos t = 3/4 in l quadrant To find : cos 2s ?

Q: .  If tan(t)≈2.7, tan(t)≈2.7, and sin(t)≈0.94, sin(t)≈0.94, find cos(t).

A: For right angle triangle containing base, altitude, hypotenuse and angle x. Tan x = altitude / base…

Q: Find the tangent of 2Q. 39 80 S. 89 Write your answer as an integer or as a decimal rounded to the…

A: tanx= perpendicular / base

Q: 4. In right AMNO, what is equal to sin M? N Update: AQ 3791 1454.PNG O A. sin O B. cos M O C. tan M…

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Q: use the given Conditions to find the exact valyes. Of sin(2u) coszu) +tanc2w usingthe double ngle…

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

Q: l side of θ lies along the lin

A: we have to find sin θ and cos θ if the terminal side of θ lies along the line y = 4x in QI

Q: one of sin x, cos x, and tan x is given. Find the othertwo if x lies in the specified interval.

A: Given that cosx=-513   and   x∈π2, π. This implies that, sinx=1-cos2x         ∵x lies in…

Q: . A point that moves on a coordinate line is in simple ________ ________ when its distance d from…

A: Consider the given equation, d=a sinωt or d=a cosωt the above equation represents the simple…

Q: If z = os0+ I sin 0 and y= cos Isin p, then show that %3D 2 cos(@-).

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Q: If tan A =ntan B and Sin A :m sin B. psove that co s A: m²-1 2.

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Q: π If y = cos*[sec? (30)], and (0 y will be equal to? = ;) 9.

A: The given function is y=cos4sec23θ and θ=π9. Evaluate y' as follows.…

Q: Suppose we are given the information that m (x) = arcsin(x) + . Which of the following is correct? O…

A: Given:          m-1(x)=sin-1x+π4           ...(1)          Let  m-1(x)=y, then  m(x)=y-1        now,…

Q: dr + r tan 0 = cos? 0, do = 1. 4.

A: Given DE is drdθ+r tanθ=cos2θ   and rπ4=1 solve the given DE

Q: 87 cos e do %3D O 4

A: In this question we have to evaluate the Integration.

Q: 2. Find (a) tan(x + y), (b) tan(x – y), (c) quadrant containing x + y and (d) quadrant 3 containing…

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Q: Suppose s is a real number such that sin s = - and cos s > 0. Find cos s

A: Given                     sin(s)=-35  and cos(s)&gt;0…