Verify the identity algebraically. Use the table feature of a graphing utility to check your result numerically. (Simplify at eac 2 sin(x) = 2 csc(x) - 2 sin(x) csc(x)

Q: Verify: cos? x tan? x-1 1. = -1 %3D cos2 x

A: To verify: cos2xtan2x-1cos2x=-1

Q: Verify the identity. sin x- (sin x+ cos x) 2 Write the left side in terms of a sum or difference…

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Q: - sin ( 7 ) 2 What is the exact value of

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Q: Rewrite sin (x+ in terms of sin x and cOs x. Enclose arguments of functions in parentheses. For…

A: given function  sinx+π6 Recall the formula sina+b=sinacosb+cosasinb

Q: True or False sin² 0 = 1 – cos² 0.

A: Use the trigonometric identity sin2θ+cos2θ=1 to verify the statement.

Q: Establish the identity. sin =1- sin x

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Q: sin (90° - x) = 0.4. What is cos (x)? %3D Submit

A: We have trigonometric identity that sin(90-a) = Cos(a).

Q: Rewrite sin(x+ 7) in terms of sin a and cos I. Enclose arguments of functions in parentheses. For…

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Q: Determine a root the equation sin X+3 OF COS x-2 = 0. Correct to four decimal places.

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Q: Complete the identity. cos (x - )= Cs X sin x O -sin x -coS X

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Q: 3. Evaluate and solve for x. (No decimal values allowed) tan 30° sec60°sin90° esc-45 sec600 X(sin…

A: Put tan30°=1/√3, sin30°=1/2, sin90°=1 Cosec45°=√2, cos45°=1/√2 Then solve for x

Q: sin (x) = -0.8. What is cos (90° - x)? Submit

A: Given: sin (x)= -0.8 Formula: cos (A-B)= cos A cos B + sin A sin B

Q: Verify the identity: cos(3x) cos(x)(1 – 4 sin? (x))

A: we have to verify the given identity. the solution is following

Q: cos x csc3 x + C sin4 x 1.

A: To evaluate the given integral.

Q: sin (90° – x) -0.2. What is cos (x)?

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Q: Prove the identity (sin x + cos x)? – sin(2x) =1

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Q: Write the exact form of sin(3x) in terms of sin(x)

A: Given,          sin3x

Q: Rewrite the expression as an algebraic expression in x. tan(sin-1(x))

A:

Q: Verify the identity. You must use the format used in lecture, i.e. show that LHS = ... = RHS or RHS…

A: We can verify it as below

Q: Verify the identity. sin x- 4 (sin x+ cos x) 2 Write the left side in terms of a sum or difference…

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Q: Evaluate and show your work. sin(Cos-1(0.6))

A: Evaluate the value

Q: Verify the identity: sin (x + π/2) = cos x

A: We have to verify the identity sinx+π2=cosx We know that sina+b=sina cosb+cosa sinb Using the…

Q: Match the trigonometric expression with its simplified form. cos²[(π/2) -x] cos(x) sin(x) tan(x) O…

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Q: sin (90° – x) = -0.8. What is cos (x)? %3D

A: Solution Let consider identity sin(90°-x)=cosx ........................(1)

Q: Verify the identity. (Simplify at each step.) sin 5/2 X cos x - sin/2 x cos x = cos xV sin5 x A

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Q: Verify the identity (sin θ + cos θ)2 + (sin θ - cos θ)2 = 2.

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Q: cos + tan-'x = ! ele %3D

A: Given  The equation is cos-1x2+tan-1x=π2

Q: )-tan (-V3) 4. Find the exact value of expression sin cos -1 /2 2

A:

Q: Verify the identity. sin x- cos -x=2 sin x- 1

A: We have to verify the identity  sin2x - cos2x = 2 sin2x -1  To verify the given identity we will use…

Q: Establish the identity. sin 0 1 sin 0- 1 1 csc 0

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Q: Prove the identity. sin(x - x) = -sin(x) Use the Subtraction Formula for Sine, and then simplify.…

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Q: The root of sin x - (1 /3) x = 0 close to x = 2.2. %3D

A: We have to find the root of sinx-13x=0 close to x = 2.2.

Q: X - Find an algebraic expression for : sin(tan-1x– cos-1)

A: In the given question we have to find the algebraic expression for the relation sintan-1x-cos-1x2.…

Q: 16. Find the exact value of: π a) sin¹(tan(- =)) 3 √₂ 2 b) sin(cos-1(-

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Q: Verify the identity: sin 2x = 2cot x sin2 x.

A: Given, sin 2x = 2cot x sin2 x. Now consider the right-hand side we get,  R.H.S=2cotx…

Q: Rewrite sin( x in terms of sin(æ) and cos(x). 6

A:

Q: Verify the identity: cos4 t - sin4 t = 1 - 2 sin2 t

A: We have the identity cos4t-sin4t=1-2sin2t   Consider LHS LHS=cos4t-sin4t Rewrite as…

Q: 1. Verify the identity sin? x- sin* x cos?(-x)- cos*(-x) by rewriting the left side of the equation.…

A: sin2x-sin4x=cos2(-x)-cos4(-x)

Q: Verify: cos? x tan? x- 1 1. -1 cos2 x

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Q: /2 Find the exact value of sin sin 2.

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Q: CoS X Which of these is an efficient first step in proving the identity 1+ sin x 1- sin x :? cos X

A: To prove cos x1+sin x=1-sin xcos x

Q: Derive the formula for Sin(A-B) (Hint: use formula Sin(A+B) and even/odd functions

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Q: Verify the identity. sin(-x)+cos(-x) = -sin x + cos x   **By steps**

A: To prove identity  sin(-x)+cos(-x) = -sin x + cos x

Q: Simplify the identity: : sin2 x cos x Cos 2 x sin x

A: given trigonometric identity  Sin2x.cosx/cos2xsinx  Can be solved by using formula as shown below

Q: sin (x) = -0.6. What is cos (90° - x)? %3D Submit

A: Explanation of the answer is as follows

Q: Verify the identity: (sin3 x - cos3 x)/sin x - cos x = 1 + sin x cos x

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Q: Evaluate ∫sin3 x dx by splitting off a factor of sin x, rewriting sin2 x in terms of cos x, and…

A: the given integral is: ∫sin3x dx we have to evaluate the given integral by splitting off a factor of…

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.