I am not sure how to solve these equations 4 sec (2 x theta)-5=3 4 sin^2 (4 x theta)=1 2 sin^2 (2 x theta)=2 - cos (theta), on [0, 2pi)

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A: It is a standard derivative formula, whose derivation can be found mentioned below.

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A: We will find out the required solution.

Q: is there a proof that cos^2t +sin^2t=x^2 + y^2 =1 ? if there is , how?

A: To prove the below statement Consider a right angle triangle as shown below

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A: See the details solution in below I am consider  sin(x^2 )

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Q: 3x * y^4 = 5x * sin x + 4y ^ 3 * cos x + 5y * sin x

A: Given equation is: 3xy4=5x sin x+4y3 cos x+5y sin x

Q: How can I rewrite: sin(cos^-1(x)*cos(tan^-1(y)-cos(cos^-1(x))*sin(tan^-1(y))  as an algebraic…

A: Given expression

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Q: which of these possible solutions for cos^2x +n sin^2x - 1 = 0 in the interval x R [0,2pi]

A: This question is based on Trigonometric equation.

Q: how to find cos z using, cos^2x +cos^2 y+ cos^2 z=1     where x = 45deg  and y = 60deg

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Q: Find the point of intersection of cos(x)=cos^-1(x)

A: We will find the point of intersection using the graph.

Q: solve the equation on [0,2pi) sec^2 x + tan x = 1

A: Given:sec^2 x + tan x = 1

Q: derivative its actually only cos^12 on the last idk why

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Q: 2-5cos@ do sin e

A: Given integration is: ∫2-5cosθsinθdθ To find the value of integration.

Q: Evaluate e^(z^2) if z = x+yi Select the correct response: e^(x^2+y^2) [(cos 2xy) - i sin 2xy)] none…

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Q: f(x)=2cos^2 x-1 , 1-2sin^2 x , cos^2 x-sin^2 x and cos2x Make a comparison of the four expressions

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Q: (b) If t= tan- , express 0 2' sin 0+ sin 1+cos $2/20 + cos in terms of t.

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Q: Differentiate: x¹0 cos(x)

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