e period of y= 10 sin 2x is e period of y= 10 sin 2x is so the x-values for the five key points are x₁ = so the x-values for the five key points are x₁ = x₂ = |x3 = and X5 = and X5 =

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A: Given,           sin2x=sin60°cos30°-cos60°sin30°

Q: sec(-0) cose 1-cos²0 csc20 CS

A:

Q: tan x + √ 3 = 0

A: To solve for x.

Q: If a function has a two successive maxima at 4 and (7,4) and a range of [-2,4], determine the…

A: Given: The function two maxima at 2π3,4 and π,4and the range -2,4 Find the equation of the graph of…

Q: Find the value of cos (570)sin (510) + sin (- 330)cos (- 390)

A:

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A: We have given,  sin6θ we have to express it in the term of sin only.

Q: (arctan o tan)' = 1 – pi k E z°(k +1/2)pi When differentiating on the Real line is this true?

A:

Q: Find sin 5, given that sin x = 2 i and 0<x<5.

A: Here  sin x=14⇒cos x=1-sin2x              ⇒cos x=1-116              ⇒cos x=154 Now, sin2x2=1- cos x2…

Q: How does -cos(3t)sec(3t) equal -1?

A: given  -cos(3t)sec(3t) = -1

Q: Find the value of  x tan-1 2x + tan-1 3x = (π\4)

A:

Q: For each equation, find a general formula for the solution. Then use your formula to list all…

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: Verify identity cos2 x - sin2 x = 2 cos2 x - 1.

A: cos2x -sin2x=2cos2x-1

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A:

Q: 9. Solve the equation for x if 0 < x < 27. 2 cos x + tan x - sec x = 0 VI

A: The correct option is option A. Use the trigonometric ratios and identities to rearrange the given…

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A:

Q: sin x + 1+ COS X 1+ cOS X = 2 csc X sin x

A: Given,          1+cosxsinx+sinx1+cosx=2cscx

Q: Part D

A:

Q: Find all values of such that sin2x=sinx and 0&lt;=x&lt;=2pie

A: Given equation is Now, we use the identity sin2x=2sinxcosx,