Determine a two term expansion for the large roots of x = tan x and rtan x = 1.

Q: Solve the equation tan 3x = √3/3  on the interval [0, 2π).

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Q: Find all solutions of csc(x-3)=(2(sqrt(3)))/3 on the interval [4pi, 6pi] x= ?

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Q: (6cotx-6)/ (1-tanx) solve this

A: Given,          6cotx-61-tanx

Q: perform addition and use fundamental identites to simply sin(x)/1 + cos (x) +1 cos (x)/sin(x)

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Q: 4cos^2x use power reducing identities

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Q: Determine the two roots of sin x + 3cosx - 2 = 0 that lie in the interval (-2, 2). Use the…

A: Iteration 1: c=2a+b​=0 f(c)=sin(0)+3cos(0)−2=1Since  f(a)⋅f(c)<0, the root lies in the interval…

Q: What is the domain for f(x)=square root 1-sin x? And explain why x cannot be equal pi/2 and 5 pi/2?

A: We draw graph of function f(x)=square root 1-sin x

Q: show that there is a root of sin(x2)=e2-2.

A: To show that there is a root of sin(x2)=e2-2.

Q: The sum of the absolute max and the absolute min of the function f(x) = = sin 2x + cos is equal to:

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Q: Use the addition formulas for sinhx and coshx to prove that tanh(u+v)= tanhu+tanhv/ 1+tanhutanhv

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Q: Simplify sec(arctan 1) 1

A: Please refer to the image below