Solve the trigonometric equations analytically for the exact values of x (in radian measure) over the interval [0,2pi) a) 2 sin^2(x) - sin(x)=0 b) 4cos^2(2x)-3=0

Q: ·S Evaluate cos x sin³ x dx. + C

A: To evaluate the following integral.

Q: Solve the equation for the values of theta between [0,2pi) 2 cos^2 θ - cos θ - 1 = 0

A: Given Data: Equation:  2 cos2 θ - cos θ - 1 = 0 Interval: [0, 2π) Factorise the given equation.…

Q: Sinx=1/2 Cos2x=

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Q: 1+cos2x 3. cotx sin 2x

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Q: Using Euler' formula, show that sin 2x = 2 sin x cosx

A: Euler's Formula used.

Q: Differentiate  (sin(x+a)/cosx)

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Q: Evalnate without using Calculator (^) Cos 2 () -9 (6) Sin 15°

A: a) We know that Therefore, we have

Q: Find the exact value of cos2\theta if sin2\theta =(3)/(4) and \theta is between 0\deg and 90\deg .

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Q: (sin A)^4-(cos A)^4

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Q: Express cos 2 sin cos(2 sin-1(+)) in terms of x.

A: The objective of the question is to express the given trigonometric expression, cos(2 *…

Q: cot (0) csc (0) sec2 (0)

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Q: sinX+cosX=1   solve for X in radians

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Q: Verify the identity. (1 - sin (t) + 6 cos (t))2 + 49 sin2(t) cos2(t) = 49 cos (t) %3D (1 - sin?(t) +…

A: we know   ,                Sin2( t )+ cos2(t) = 1    implie ,  1 -  Sin2(t) =  cos2(t)

Q: Solve cos ( tanx) = sin cot! 3 4

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Q: Sin(28) = cos(a) %3D mLa?

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Q: cosx+1=sinx

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Q: c. sin-1(3)3

A: