find the exact value of the expression -3/2 {sin240-sin150}

Q: Find the exact value of sin(-5π/8). Show work

A:

Q: Use sum-to-product formulas to find the solutions of the equation.sin 5x - sin x = 2 cos 3x

A: sin5x-sinx=2cos3x

Q: Find the value  (1-sin2x)sec2x=1

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Q: Find sin 5pai/6.

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Q: Solve 4 sin² x + 1 = 4.

A: The objective is to solve the given equation

Q: Verify that (sinx-cosx)2=1-sin(2x)

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Q: sin(2 tan(5)

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Q: Find the value of x sin 6x +sin6/3x -1 -1

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Q: Use sum-to-product formulas to find the solutions of the equation.sin 2x - sin 5x = 0

A: Given, sin 2x-sin 5x=0

Q: Find the exact value of sin 270°. sin270° %3D

A: Solution: The objective is to find exact value of sin(270)

Q: Find all solutions to the equation. 4 sinx=5-4 cosx

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Q: Solve for x: sin4x=-2sin2x

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Q: find the value of sin15 degree

A: Given : sin15°

Q: e of sec(tan-1 square

A: We know,      tan-1(3)=π3    sec(π3)=2

Q: Use the appropriate formula to express the product sin 6x sin 2x as a sum or difference.

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Q: Solve for θ 6sin^2(θ)+sin(θ)-2=

A: Explanation and solution is given  below....

Q: Find all solutions of the equation in the interval 0, 2). 4 cosx=-sin²x+4

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Q: Find ALL the solutions to sinx+ 2 sin x+130

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Q: Find 7 sin² (7x) dx

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Q: Simplify. sin 2x · cos 3x – cos 2x · sin 3x

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Q: What is the exact value of sin4)-sec(-) -4+/2 A 2 4-/7 B -4-/7 2 4+/7 2

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Q: Use a sketch to find the exact value of the expression sec [sin-1 (- 1/4)]

A: Let y=sec[sin-1(-1/4)]  perpendicular=-1 hypotenuse=4 base=-(-1)2+(4)2=15

Q: Solve each equation on the interval 0 ≤ θ < 2π. 2 sin2 θ - 3 sin θ + 1 = 0 .

A: the given trigonometric equation is: 2sin2θ-3sinθ+1=0 we have to solve the given trigonometric…

Q: Solve: sin -1

A:

Q: Express as a product.sin 3t - sin 7t

A: Given : sin 3t - sin 7t

Q: solve equation sin2θ = -cos2θ

A: The equation can be written as,

Q: Solve 2 sin2 θ - sin θ - 1 = 0 for 0 ≤ θ < 2π

A: To solve the equation 2sin2θ-sin θ-1=0,first factorize it and simplify to obtain the factors . To…

Q: Express the sum sin 8x + sin 2x as a product. If possible, find this product’s exact value.

A: To express the sum sin 8x + sin 2x as a product, apply the trigonometric formula…

Q: Solve the equation on the interval [0, 27). tanx sinx = tanx

A: Period of the tangent function tan x is π. Period of the sine function sin x is 2π. If we have the…

Q: How many solutions on the interval [0, 2020π] does the equation 1/2 sin2x + 1 = sinx + cosx have?

A:

Q: Express the difference sin 11x - sin 5x as a product. If possible, find this product’s exact value.

A: Given,          sin11x-sin5xWe know that,             sina-sinb=2cosa+b2sina-b2

Q: Solve the equation 2 sin2 x + cos x = 1 on the interval [0, 2π).Use exact values where possible or…

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Q: Use the appropriate formula to express the product sin 8x sin 4x as a sum or difference.

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Q: Show that the equation has exactly one real root.   2x -1 - sinx  = 0

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Q: Solve the equation on the interval 0 ≤ θ < 2π. 2 sin2 θ - 3 sin θ - 2 = 0

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Q: Use a sketch to find the exact value of the expression sec [sin-1 (-√2/ 2)]

A: Given: secsin-1-22 we know that sin-1-12=-π4                                        ..1

Q: Find all values of x in the interval [0, 2 pi) that solve sinx cot^2x-sinx=0

A: Please see the explanation below

Q: sin 60⁰ cos 300⁰

A:

Q: The expression (1 -sinx) / (cosx) is equal to

A:

Q: Find all solutions of the equation in the interval [0, 2n). sin0+ sin20 = 0

A: Given equationsinθ+sin2θ=0we need to find the all solution in the interval [0,2π)

Q: Find all solutions of the equation 5 sin θ + 1 = 3 sin θ.

A: 5sinθ+1=3sinθ

Q: Find an approximate value for sin179∘.

A: Consider the given angle is x=sin 179o . Use the approximate formula for small Δx where  Let…

Q: Solve the equation on the interval 0≤θ≤2π tanθ=-(sqrt)2 sinθ

A: For solving this trigonometric equation, we have to write the given equation in factored form and…

Q: Express the product sin 5x sin 2x as a sum or difference.

A:

Q: What is the value of sin (- 4

A: We have to find the exact value of  y=sin-π4

Q: What is the greatest possible value for the product of 2-sinx and 3 + cos5x

A: (2-sin(x))(3 + cos(5x)) =6-3sin(x)+2cos(5x)-sin(x)cos(5x)

Q: Express sin 5x + sin 7x as a product of trigonometricfunctions.

A: To Determine: Express sin3x+sin7xas a product of trigonometric function Given: we have a…

Q: 9. Simplify. sin-cos -

A: Simplify