Solve the equation. Give a general formula for all the solutions. List six solutions. sin \theta  (\sqrt(3))/(2)

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A: To solve :6sinπx2=4

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A: Arctan(5-6i) means argument of 5-6i. The argument of any complex number z=x+iy  is  θ=tan-1y/x.…

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A: From the given problem:   I=∫0π4sin22θ dθ...(1)   As we know that:   sin2θ=1-cos2θ2=121-cos2θ So,…

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A: Given, sin2x = 1/2 . Taking square root both sides , => sin x = 1/√2

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A: Given that: The equation is 4 sin 2 x - 1 = 0 , 0 ≤ x &lt; 2π .

Q: Solve each equation on the interval 0 ≤ θ &lt; 2π. tan θ + √ 3 = 0 .

A: Given equation is          tanθ + 3=0

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A: Given trigonometric equation is: tan2θ=13 We have solve this equation for θ, 0 ≤ θ &lt; 2π.

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A: on solving this we get the

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Q: 3) Solve the Trig equation: tan(40) = 1 %3D

A: We have to solve given trigonometric equation I have explained in details in step 2 please check

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A: The given equation is: 2sin2x+5cos x-4=0 It can be simplified as: 2sin2x+5cos x-4=0⇒2(1-cos2x)+5cos…

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A: ( Sin x )2 = 1/16.

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A: We have to find square root of complex number(z).z is given below:

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Q: Solve the equation or inequality: sin θ cos θ = - 1/2, 0 ≤ θ &lt; 2π.

A: Consider the equation: sinθ·cosθ=-12,   0≤θ≤2π

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A: Given:    In fist product Matrix given is     cos2θ-sin2θ =  cos 2θ       2sinθcosθ = sin 2θ…

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A: sin22u=1,  -π2&lt;u&lt;π2

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Q: , Find all solutions of the equation. ) sin x csc x = -2sin x

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A: Explanation of the solution is given below..

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Q: csc-0-2 cot 0= 0

A: csc2θ-2cotθ=0

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A: We know that the cosecant function is positive in I and II quadrants. The cosecant function is…