Use sum or difference identities to find the general solution for the equation. Show all step cos 5x cos 4x sin 5x sin 4x

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: If /3tan0=3sin0,find the value of sin*0-cos²0

A:

Q: Find cos θ if  sin θ =  1 2  and θ terminates in QII.

A: Assume sinθ=12⇒θ=sin12-1⇒θ=30° , 150°

Q: Solve the equation if 0 ≤θ≤ 360 degrees (HINT: raise to the power 2). Sinθ-Cosθ=1

A: Answer and explanation is given below..

Q: Use double- and half-angle formulas to find the exact value of the expression cos2 15° - sin2 15°.

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: Find the exact value of the expression, if it is defined. (If an answer is undefined, enter…

A:

Q: Find the exact value of each expression. 1) cos-0 V3 3) cos- 5) sin- -1 7) cos-1 1 9) sin- 1 11) cos

A:

Q: Use an Addition or Subtraction Formula to simplify the equation. sin(3θ) cos(θ) − cos(3θ) sin(θ) = 0…

A: Given expression;

Q: Use a sum or difference formula to find the exact value of the expression sin 80° cos 50° - cos 80°…

A: Our aim is to find the exact value of the expression given below:-sin 80° cos 50° - cos 80° sin 50°…

Q: Find cos(θ-π/2) if sin θ=-0.57

A:

Q: 0 12 cos 90°

A: 1) cos90 2)tan135

Q: Give expressions to represent all exact solutions to the equation in radians: sin: (x)-V3sin(x)=0

A: The given equation is sin2x-3sinx=0. Solve the above equation as follows.

Q: 30 cos 4x - cos 3x =

A: Given equation is, cos4x-cos3x=0 Applying sum to product formula, cosA-cosB=-2sinA+B2sinA-B2 in the…

Q: Give expressions to represent all exact solutions to the equation in radians: 2 sin (x) – V2 sin(z)…

A:

Q: do i use difference formula to find out whether the following is positive or negative? cos(x+3pi)

A:

Q: Use a product-to-sum formula to find the exact value.  (sin82.5degrees)(cos37.5degrees)

A: Given:

Q: Write cos 3x cos 2x - sin 3x sin 2x as a single cosine.

A: Given expression is cos3xcos2x-sin3xsin2x. To write the given expression as a single cosine. We know…

Q: Find the exact value of the expression, if it is defined. (If an answer is undefined, enter…

A: Given

Q: Find the exact value of the expression, if it is defined. (If an answer is undefined, enter…

A:

Q: Solve for 8: cos 1-3 cos8+2 = 1, (00). sin?

A:

Q: Use a sum or difference identity to find the exact value. sin 125° cos 65° - cos 125° sin 65°

A:

Q: Find the exact value of the expression sin 3π/2 tan (-15π/4) - cos (-5π/3). Write the answer as a…

A: We know that, sinπ+θ=-sinθ             ⋯⋯1tan4π-θ=-tanθ            ⋯⋯2cos2π-θ=cosθ…

Q: Find all solutions of the equation in the interval [0, 2π). 2sin6θcos2θ - 2cos6θsin2θ = - √2 Write…

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Q: Use the power reducing formulas to rewrite sin24x cos24x in terms of the first power of cosine.…

A:

Q: Find the exact value of the expression, if it is defined. (If an answer is undefined, enter…

A: Given :   cos ( sin-1 (0) )

Q: Find all solutions of the equation 1 COSX=

A:

Q: use basic identities to simplify the expression. sin3 x + cos2 x sin x

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Q: FInd the value of Sin150 ,cos150 and tan150

A:

Q: 3. Prove the identity by transforming the left side of the equation to match the right side. Do not…

A:

Q: Use an Addition or Subtraction Formula to simplify the equation. cos(θ) cos(2θ) + sin(θ) sin(2θ) =…

A: Given equation is

Q: sinθ

A:

Q: Verify the identity. (Simplify at each step.) (1 + sin α)(1 − sin α) = cos2 α (1 + sin α)(1 − sin…

A:

Q: Prove the identity by transforming the left side of the equation to match the right side. Do not…

A: Given identity is 4sin6x+cos6x=4-3sin22x Left hand side of the identity can be written as…

Q: Write a formula for sin 2x by writing sin 2x as sin (x + x) and using the formula forthe sine of a…

A: Formula used: Addition formula for trigonometry. sinA+B=sinA·cosB+sinB·cosA Calculation: The formula…

Q: Find the exact value of the expression, if it is defined. (If an answer is undefined, enter…

A:

Q: If sin(8) = -1/6, find sin(-0).

A: Given: sin(θ) -1/6   To determine: sin(-θ)

Q: Find the exact value of the expression, if it is defined. (If an answer is undefined, enter…

A: sin(sin−1(9/5)) = 9/5 But, -1 ≤ sinθ ≤ 1

Q: Find the exact value of the expression cos2 15° - sin2 15°. Do not use a calculator.

A: Given expression: cos215∘-sin215∘ Recall Double-Angle formula cos2θ=cos2θ-sin2θ

Q: 4. Simplify sin 0-1 cos 8-1

A:

Q: Find the exact value of the expression, if it is defined. (If an answer is undefined, enter…

A: For sin(arcsin(x)), the domain of the function is domain of arcsin(x) which is [-1,1].

Q: Find all solutions of the equation in the interval [0, 27). cos 4x cos2x+ sin 4x sin2x = 0 Write…

A: Given : cos 4x cos 2x+sin 4x sin 2x=0  for x∈[0,2π). To find : The solutions of the equation in the…

Q: Find the exact value of the expression sin2 π/2 + cos π. Do not use a calculator.

A: Find the exact value of the expression sin2 π/2 + cos π.

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.