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Q: Show that cosx and sinx are even or odd?

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Q: Sinxtsina3x COSX+ COS 32 tan 22

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Q: i) Sin 20easoal-Sin?

A: Use the trigonometric identities,…

Q: Prove that sin 4A = 4sinA cos³A - 4 cosA sinA.

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Q: if cosx=tany,cosy=tanz,cosz=tanx ,then find sinx

A: Given,

Q: Prove this equation (cosx-sinx) ^2=1-2sinxcosx

A: Trigonometric formula

Q: Use trigonometric identities to transform the left side of the equation into the right side (0 < 0 <…

A: We need to prove the following condition 1+sinθ1-sinθ = cos2θ

Q: If sin of theta = 0.2774, find cos of theta. Round to four decimal places.

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Q: If sine = -7/25 and rt < 0 < 3Tt/2, find tane. %3D

A: Given that sinθ = -725 and π&lt;θ&lt;3π2 We need to find tanθ = ? First, we need to find θ from sinθ…

Q: » find period of 8 ystan 4x @ y.5.cos.so* Cos 10X

A: Given y = tan(4x) Period = π/k where k is coefficient of x Therefore k = 4 Period = π/4

Q: express sin(x+y+z) in terms of cosine and sines of x, y and z

A: Answer and explanation is given below..

Q: It is true that sin (3pi/2)=-1. Explain why arcsin (-1)≠(3pi/2)

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Q: sin t = cos t = can t =

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Q: how that cos 1+cos 8 and sin 1-Cos 0 %3D %3D using de Moivre's Theorem.

A: It is required to show that cosθ2=1+cosθ2 and sinθ2=1-cosθ2 by using de Moivre's theorem. By de…

Q: What vaule of 0 = sin (0/3 - 10)

A: that is equal to 0=sin(0-10) than 0=sin(-10) such that -10=sin^-1(0) that is equal to zero

Q: Express 2 sinx- v2 cos x in the form of Rsin(x – a), w

A: Given expression is   2 sinx -2 cosx

Q: Verify the identity: cot2 2x + cos2 2x + sin2 2x = csc2 2x

A: The given identity is ot2 2x + cos2 2x + sin2 2x = csc2 2x

Q: Verify: cos(A + B) + cos(A – B) = 2 cos A cos B. To receive full credit, show all steps. Edit Viou

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Q: If x is an acute angle sinx = cosx. Find the value of 2tan2x + sin2 x - 1

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Q: +sin 0 1-sin 0 4 tan 0 sec 0 -sin 0 1+sin 0

A: Given query is to prove using identities of trigonometric functions.

Q: Use trigonometric identities to transform the left side of the equation into the right side (0 &lt;…

A: Given trigonometric identity is:

Q: Prove + cosß)* +(sina + sinß) = 4cos² a - B) %3D

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Q: Let Oses and let 3x = sece. Then sine is 2

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Q: Establish the identity. (5-) - sin cos 0 %3D

A: Given,          sinπ2-θ=cosθWe know that,           sinA-B=sinAcosB-cosAsinB

Q: tan + cosxtan sinx %3D

A: SOME TRIGONOMETRY FORMULAS: 1.)cos2x= cos2x- sin2x2.) cos(2x)= 2cos2x-13.)cos(2x)=…

Q: 9. tanx + secx = COSX 1- sinx

A: tanx+secx=cosx1-sinxsinxcosx+1cosx=cosx1-sinx1+sinxcosx=cosx1-sinx1+sinxcosx=cosx1-sinx×1+sinx1+sinx…

Q: Prove:  cos(π   + x)        2             =−sinx     Please write clearly thank you.

A: We have to prove that cosπ2+x=−sinx. Use formula cosA+B=cosAcosB−sinAsinB Here, A=π2 and B=x Hence,…

Q: What is cosx+tanx over sinx

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Q: If cos u = -2/3 and π/2 &lt; u &lt; π, find: a. sin (2u)

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Q: If ye cos x 8 lnx, find f'(x).

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Q: Solve cos ( tanx) = sin cot! 3 4

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Q: Show that sin , +sin ¤, = 2 cos[;(4, – Þ,)]sin[;(P, +Ð,)]

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Q: 2) Explain why sin(@) = cos(90 - 0). %3D

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Q: Prove that csc2A tan(2A) = 2cosA/cos(2A)sinA

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Q: Evaluate V2 cos sin-! 2.

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Q: Find cot 0 if sin 0 and 0 terminates in QIII. 35

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Q: Find sin(20) if sec 0 = 3/2 and tan 0 < 0. %3D

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Q: 16 If sec 0 *, find sin 0. 5

A: Given,            secθ=165

Q: Verify identity cot2 2x + cos2 2x + sin2 2x = csc2 2x.

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Q: Use Trigonometric identities to show that cos(2θ) + 2 sin2 (θ) = 1

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Q: Find sin 0 + cos 0 + tan 0 if the point (-1,-2) lies on the terminal side of the angle 0 in standard…

A: Given: Point -1,-2 lies on the terminal side of θ, thenr=x2+y2sinθ=yrcosθ=xrtanθ=yx

Q: 14) Show that Cos e= 1- Sino COs o : |-Sinie

A: Given, cos2θ = 1-sin2θ We have to show that.

Q: 3t €7 cosut +3 Sinat

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Q: Find the rootof( foxs = sin (cos ces) %3D 4-

A: "Since you have asked multiple questions we will solve the first question for you. If you want any…

Q: Use Figure 8 to prove that (cos-x)' = VI - x² FIGURE 8 Right triangle with y = cos-x.

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Q: Express sin π 2 +0 +0 as a single trigonometric function in simplest form.

A: We know that sin(a+b)=sin(a)cos(b)+cos(a)sin(b)

Q: 3+ cos 30 de 1 sec tan 16 + 0²

A: Given,          ∫secθ5tanθ5-116+θ2+3+cos3θ5dθ

Q: Prove using trig identities sin 20° =1 V3 cos 20° – 2 sin 40°

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Q: Verify that sin θ cot θ = cos θ

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