Solve the equation on the interval 0≤θ<2π. What are the 4 solutions to cos(2θ)=square root 3/ 2 in the interval 0≤θ<2π​?

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A: Using the identity,  Cos(A+B)= Cos(A) Cos(B)- Sin(A) Sin(B)

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A: Given 2cosθ+1=0

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A: Given, The trigonometric equation  sin2x.sinx = cosx We have to find the solution in the interval 0,…

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A: sin x is negative in third and fourth quadrant.

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A: Solution: cos2θ +2cos θ +1=0

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A: Topic - trigonometric Equations

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A: We can use general solution in order to solve the given problem.

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A: use trigonometric table to find the angle.

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A: Given

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A: cos(A) = cos(B) then A = 2kπ ± B where k is an integer.

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A: The given equation is: y=6-3cosx, and x is restricted to the interval i.e., 0,π.

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A: To solve:

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A: Solving the problem by finding the value of x.

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A: We have to solve the given equation over the given interval.

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A: Definition used -         The solution of trigonometric equations-         Trigonometric equations…

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A: To solve:cosx+2sinxcosx=0

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.