If I(theta)=cos^2(1/2theta) what is I’(pi/2)

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: Find sin(cos^-1 1/5)

A: Here we have to find, sincos-115 ................ (1) Let,  cos-115=t⇒cost=15

Q: cos\theta =(1)/(3)and \theta  is in quadrant IV, then cos(\theta )/(2)

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Q: Solve the following equation involving inverse trig Sin^-1 (theta)+tan^-1 (theta)=0

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Q: if a=cos^2x+sin^4x,then find x

A: Given,

Q: If sinx^2 =a/b find cos(90-x)

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

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

A:

Q: Sin'z cos' de

A: Given: ∫sin12x cos5x dx  ……1

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

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Q: Find cos(sin^−1(−1/2))

A: Trigonometric

Q: 3t CoS cos ut}

A:

Q: heta is not -tan^-1(5/2)

A: When finding the angle, finding it in the desired interval is essential.

Q: Can cos3θ = 4cos^3θ−3cosθ be written as cosθ = 4cos^3(θ/3)−3cos(θ/3)? If not, can I rearrange the…

A: Can cos3θ=4 cos3θ-3 cosθ  be written as cosθ=4 cos3θ3-3 cosθ3

Q: csc((\pi )/(2)-\theta ) =

A: Given (pi/2-theta)

Q: 5. Suppose we start with a universal set U = {1,2, 3, 4, 5, 6,7,8,9, 10} and have subsets A = {1,3,…

A: Use union and intersection of sets

Q: Differentiate  cos(t^2 - 6)

A: Given: cost2-6

Q: cosx+1=sinx

A: