- 47T then 3 - If 0 : sin(0) = cos(0) = COS Give exact values. No decimals allowed!

Q: If cos 4x = cos 6y, which of the following is correct?

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Q: 5. (a) Expand (1+x) and hence find the value of (1.02) correct to 4 decimal place 1+sin 0 m-1 1-sin…

A: First expand 1+x4 then find the value of 1.044 Using the identity, a+b4=a4+4a3b+6a2b2+4ab3+b4…

Q: 57 then 3 If 0 sin(0) = cos(0) =

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Q: 5 and 13 3.) Find cos given that sin x < x < t %3D

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Q: 06:- Find the result of the following. (Choose two only) 4 1- 2-Si(Vx+ dt OLLI x² 3- 7 sine do

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Q: 4. If 0° <0 < 90° and cos e= , find cos 20.

A: Here given as

Q: -57 If 0 -, then 6. sin(0) = %3D cos(0) = %3D

A: θ=-5π6 find the value of  sin(θ) sinθ=sin-5π6 sinθ=-sin5π6 sinθ=12

Q: A periodic signal is given by r(t) = 3 cos(t) + cos (5t 2n - 2 sin (8t + 3

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Q: 6) Let sin 0 - for n <0 < Find the exact value of: %3D 2. a) cos 0 b) tan 0

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Q: 15 and x terminates in guadrant III. 17 Find sin2x, cos 2x, and tan 2x if sin x= - sin 2x cos 2x %3D…

A: The solution is given in the next step.

Q: - 37 then 4 - If 0 sin(0) = cos(0) =

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Q: 1.)When m is odd, we can integrate sin" (x) dæ by letting u cos(a). Why does have to be odd for this…

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Q: 5. If cos 0 = 0.8, find cos(0 + n).

A: We will use the formula cos(A+B)=cosAcosB - sinAsinB With A=theta and B=pi

Q: In the interval 0 <z< 2n, for what value of x does sin a = cos x? and 4 4 only 4 and 4. 4. - only…

A: sin x=cos x implies tan x=1

Q: Find cos 6 given that sin(20) = 5/13 and 0<0 <

A: Use properties of right triangle to get value of thetha

Q: -24-4s e S COS os(28) – 7 sen(28) cos s+6 s2 + 49

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Q: 32. If 2 sin 0 cos 0 cos 0 =0, where 0 <0 < 2n, then the exact values of 0 are 57 0, 3 O0, 5. 7, ,…

A: Given : 2sinθcosθ - cosθ = 0 Where, 0 ≤ θ ≤ 2π To find : Exact value of θ?

Q: 1. Which of the following is the value of n so that a. 0 b. 1 tan tan"x cos³x dx = c. 2 d. 3 1 sin³x…

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Q: 57 If 0 = then 4 %3D cos(e) = %3D sin(0) = %3D

A: Given data is : θ=5π4 To find the value of  cosθ sinθ

Q: 8 Let sin A = - 12 with 270° < AS 360° and cos B = with 90° < B s 180° and find the following. 17 13…

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Q: 5. 3 If tan B = - with * <B < 2n , find cos (2ß). %3D

A: It is known that in the first quadrant all trigonometric ratios are positive, in the second quadrant…

Q: Suppose m and n are constants and m #n. Evaluate sin(mx) cos(nx) dx-

A: To evaluate we first multiply and divide by 2 the given function.  Then use the formula: 2(sin(mx)…

Q: 1 Show that sin e 8 cos (20) + 2 cos (40).

A: We need to show that, sin4θ=38-12cos2θ+18cos4θ

Q: 13:49 4 Screen. 34 (C) If y = sin 2x + cos 2x , then (y,)o =? ans. none PAE sin+ COs 2

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Q: (-1)"x2" Σ (2n)! 1. For all x E R, cos x = n=0 +00 (-16)"(4n+1) (2n)! c. Use the result in item 1(b)…

A: We have to prove the sum of series.

Q: 2. If 90° < 0 < 180° and cos 0 =-, find sin. %3D 11/3 11/3 3 ) - 3V11 11 O 3/11 11

A: We know that the trigonometric identities :  cos x = 1 - 2 sin2 (x/2)

Q: 2-Find O for: y3tan? (cos x).

A: Using Chain rule we can solve the given derivative problem

Q: The simplified form of cos²(x) sin(x) + sin(1) is: Select one: a. sin(x) b. None of these c. cos(x)…

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Q: and 9o c oc 180 Sin e = Gf Cos 2 SUPPOSE that find exact values and tan 2. Cos tan

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Q: |(9 cos(9 x) +4 sin(4 x))dx =sin(9 x) - os Select one: True O False

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Q: Which of the following is equivalent to cos (60° + 0 + sin(30° + 0)? cos 8 +V3 stn 0 cos e Option 1…

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Q: uppose that sin(a) = 2/8 and cos(b) =1/9 define in the first quadrant, determine cos(a-b). (round to…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: If sin x = and t <x < 2 find cos (2x). Enter an exact answer. cos (2x) =

A: We have to find the value of cos(2x).

Q: b. Given that z = el®, show that z" += 2 cos ne. Hence, show that cos 50 = 16 sint 0 – 112 sin² 0 +…

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Q: 57 then If 0 = sin(0) = %3D cos(0) = %3D

A: Given θ=5π6

Q: 2 /5 If cos(a) = - with π<α< compute the exact value of the following: 2 cos(2a)=| sin 2 tan 2

A: To find the required values we need to use the double angle formula and the half angle formulas.…

Q: Suppose that sin(a) = 3/7 and cos(b) =2/8 define in the first quadrant, determine cos(a+b). (round…

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Q: 12 If cos(a) = with T<a<- compute the exact value of the following: 2 cos(2a)=| sin tan)- 2

A: cos(α)=-22 with π&lt;α&lt;3π2

Q: 20 Establish the identity: 1- cos e sin e sin e 1 + cos e LHS Sunt

A: Let us prove the given identity.

Q: – 57 then - If 0 : sin(0) = cos(0) = COS %3D

A: Given : θ = -5π/6 Then, sinθ = sin(-5π/6) = sin(-5×180/6) sin(-150) = -sin(150)         [∴ sin(-θ)=…

Q: 17. Choose the best answer. (- - ) Ifain ( - ). cos z and sin 3 find cos 2 2 1 2 V3 2

A: Here we have to find the value of cos(pi/6).

Q: 5 If sin u = 13 12 cosu = 13 3 and cos W = 5 W = --, find the exact value of each of the following:…

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Q: 94) Find the exact value Cos lutv) that 4=5 구 gven -3,4n Q1 and v in 03) tan and cos

A: Topic - trigonometric Identities

Q: the correct steps to evaluate cos²20 dº is 0 One of Ⓒ[-[²04 A de sin²20d0 0 0 [1²4] B de- cos 40d0…

A: We use double angle formula  cos(2x) =2cos2(x)-1  cos2(x) =(1+cos(2x))/2

Q: -8 2. Given that sin a = and 15 12 tan 26 5 where a and 2B lie in the interval Зл, evaluate the…

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Q: S(x) - e 05 (2 cos 2.x+3sin 2.x) 7. , evaluated at x 1 rad

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Q: 40 0<0<-, find the exact valı 41' If sin 0 = (a) sin (20) (b) cos (20) (c) sin 2 -

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Q: At time t “, the position x(t) = 6 cos(t) is given by the following. 11 (:) - 6 co) = 6 cos cos (37)…

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Q: Question in the file attached

A: using half -angle formula with proper sign attached.( taking into account the quadrant )

Q: 1. Find the values of sin 20, cos 20 and tan 20, given: 9 3n a. tan 0 if n<0 < 40 2 3n b. sin 0 if <…

A: Giventanθ=940 ifπ&lt;θ&lt;3π2sinθ=-12 if 3π2&lt;θ&lt;2π.To findsin2θ, cos2 and tanθ