19. Express sine in terms of cote. (1+cot2e) 1+cot2e (2+sin2e) A. sine- C. sine = 2+sin?e /1- 1-sec2e sec²e) D. sine-2-sec) 2-sec2e B. sine - D. sine = 20. What is the equivalent expression of cos-x-sin A. sin* x+csc*x C. cos"x-sin*x B. cot'x+ cos 'x 4 D. sin" x- tan'x 4

Q: 8 Verify the iclantity (sin @ +are) = / + Sin2

A: You have posted multiple Questions, as per our company guidelines we can solve only one, So I am…

Q: 8. If sin 0 E and tan 0 -E, find sec 0.

A: Given: sinθ=513 and tanθ=-512. To find: secθ Solution: We have, sinθ=513 and tanθ=-512 We know that…

Q: I--I---A sin dydx sin:

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Q: 6. Given: sinx= #, secx<0 Find the exact values of cos 2x and tan SHOW ALL WORK. 6. cos 2x = tan =

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Q: Express sin 0 cot in terms of first degree sine or cosine function. sin 0 (1+ cos 0) O sin 0 (cos 0…

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Q: 15. Using the identities, find cotx and secx if sinx = 1/4 and cosx > 0. %3D

A: Question number 15,Given,          sinx=14 and cosx&gt;0

Q: 3 Prove the identity: sin30 = sin® –sin30 using De Moivre's theorem.

A: To prove the given identity ,we have to use De Moivre's identity.

Q: 4. The terminal side of an angle 0 in standard position passes through the point ). Calculate the…

A: (4) Let x=-7 Let y=9 Let r= the length of a line segment drawn from the origin to the point:…

Q: Write the equation of a sine function that has the given characteristics. Amplitude: 19 Period: 4…

A: Given that we need to find the equation of sine function whose  Amplitude = 19 Period = 4…

Q: 3) Find sin 0 if sec 0 : 8. and tan 0 < 0.

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Q: Prove the identity. sin(x -) - -cos(x) Use the Subtraction Formula for Sine, and then simplify.…

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Q: 1. Use de Moivre's theorem to express sin50 in terms of powers of sin.

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Q: 2 and tan 0 < 0, then 4 If cos 0 - - sin(0) tan(0) cot(0) || sec(0) csc(0) = Give exact values.

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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: .

A: The given matrix is,

Q: Prove the identity. cosx sin (x+y)- sinx cos (x+y)= siny Note that each Statement must be based on a…

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A: Solution: To solve a triangle is to find the lengths of each of its sides and all its angles. We use…

Q: Prove the trigonometric identity  1+sec2x /over/ 1+tan2x=1+cos2x

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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: Group (A) tane + sece -1 1+ sin® Q1/, Prove that Tane - sec® + 1 cose Q2/Prove that cos 17° + sin17°…

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Q: Suppose that θ=arcsin(2/5) in the first quadrant. What is sin(θ/2)? (round to 4 decimals)

A: Given : θ = arcsin(2/5) in the first quadrant.   To find : sin(θ/2)?

Q: Determine a root of the equation sin x + 3 cos x – 2 = 0. Correct to four decimal places

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Q: 8 If tan 0 15 what is sin 0? sin 0 = [?] %3D

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Q: Find a value of x that satisfies the equation sin (-13°) = cos (x). %3D Submit

A: To find the value of x

Q: a) sin ) co () - c) tan 4) cot (- *) - ) me (- *) - sec

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Q: Since sine is an ---Select---v function and cosine is an -Select--- v function, we have the…

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Q: 5. Establish the identity: tan 0 +cot 0 = sec 0 csc LHS COSE Sine Sude

A: consider the given identities

Q: 14. What is the mathematical relationship between sine and cosecant, cosine and secant, and tangent…

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Q: 4. tan-(-v3) give answer to this question in degrees and radians.

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Q: Convert this identity to one using sine term(s) only. 1 - 2 cos2r = 2sin²r - 1 -1 - sin²r 1 -…

A: This question is based on conversion of Cos2r = 1 - Sin2r

Q: Find a value of x that satisfies the equation sin (-11°) = cos (x). %3D Submit

A: We have to find x

Q: / √1 + x² dx X

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Q: Can you please help me with my verify the identity problem? sinx / 1-cosx - cotx = cscx

A: To prove,  sin x1-cos x-cot x=csc x

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

A: Given:a sinsin-1513- cos-1-35b cossin-145+tan-134c tancos-112- sin-1 -12

Q: 4. Given cos 2x = cos²x - sin² x. (Optional) (a) Verify sin 2x = 2 sin x cosx. cos 2x, (b) Express…

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Q: nsidering the values of α and β for which (sin ( α - β ) over (cos ( α )cos ( β )) is defined (sin (…

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Q: 1+ sine tane + sece - 1 tane – sece +1 Prove that cose

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Q: 4. As 0 increases from 90 to As ð increases for 180 to 270 degrees, describe the value of Cosine…

A: here we discuss the , some degree to describe the value of cosine and sine over the interval . cos…

Q: Prove that: (sinA-cosA+1)÷(sinA+cosA-1)=1÷(secA-tanA)

A: To prove: sinA-cosA+1÷sinA+cosA-1=1÷secA-tanA

Q: 1- sine sece – tan 0 Cos e

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Q: 1. Use de Moivre's theorem to express sin50 in terms of powers of sine.

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Q: Complete the proof of the identity by choosing the Rule that justifies each step. sin’x- cos'x = 2…

A: Rule used, Sin2x+Cos2x=1

Q: 5. Determine the exact value of sin 1l7 |. Include a clearly labelled diagram. [3 marks]

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Q: sin³ 4z cos° 4zdz

A: Here we have to integrate the given integral.

Q: 6. Given: secx=- 4, cotx>0 Find the exact values of sin 2x and tan SHOW ALL WORK. 6. sin 2x - tan =

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Q: Using De Moivre's formula demonstrate that sin(3x) = 3sinx − 4sin3x

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Q: 8. If tan 0 = 15 what is sin 0? sin 0 = %3D iblo

A: The solution is given below in the next step:

Q: If sinx=38sinx=38, x in quadrant I, then find (without finding x) sin(2x)=sin(2x)=    cos(2x)=cos(

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Q: Recall that sin² 0 means (sin 0)². V5 find sin2 0. If sin 0 = 3 %3D sin? 0 = %3D

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