Complete the proof of the identity by choosing the Rule that justifies each step. sin?x- cosx = 2 sin?x– 1

Q: То evaluate sin 2x cos 2xdx conveniently, the formula/identity to be used islare cos²2x=1 – sin²2x…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Perform the indicated operation and simplify. 1- sin t 1 COS t tan t + sect

A: formulae used:

Q: Write the given expression in terms of x and y only. tan(sin-(x) + cos-(v))

A:

Q: implify the given expression  sin(3x) cos(8x) - sin(8x) cos(3x)

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Q: Which of the following is equal to sin()? V3 2

A:

Q: Rewrite sin 2 cos as an algebraic expression in v. 5

A: Explanation: Given that,                          We know that,                           Use the…

Q: Jo 17. cos² x sin? x dx

A:

Q: Use a right triangle to simplify the given expression. Assume x 7 0. cos 1tan-1x 2

A: Now let Now it can be represented by using right angled triangle as,

Q: sin? 2t and x = cos² t

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Q: Find the value

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Q: Simplify  1/cos a 1/sin b

A: we know that  1cosθ=secθ1sinθ=cosecθ

Q: Simplify the identity, show all steps. sin(x) 1+cos(x) 1. 1+ cos(x) sin(x)

A: We use identities  sin2(x) +cos2(x) = 1  1/sin(x) = csc(x)

Q: Complete the steps by applying trig identities to show that the left hand side of the equation is…

A: Given: To prove that cos2x-sin2x=1-2sin2x

Q: Simplify the expression V4 x2 as much as possible after substituting 2 sin(0) for x. (Assume 0° < 0…

A:

Q: Find a solution for sin (O + 15°) = cos (20 + 30°). %3D

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Q: Verify the identity. (Simplify at each step.) (1 + sin a)(1 – sin a) = cos? (1 + sin a)(1 - sin a) =…

A: Simplification

Q: Verify the identity by following the steps below. sin(x)cot(x) cos(x) 1) Write the left-hand side in…

A:

Q: Write 3 sin(t) – 4 cos(t) in the form A sin(Bt + ¢)

A: Given: ft=3sint-4sint multiply the above expression by, The expression 'f(t)' becomes,

Q: Evaluate (2 sin? x cos3 x dx 0.

A: The given integral,     ∫0π2sin2x cos3x dx

Q: Verify the identity by transforming the lefthand side into the right-hand side.

A: sinθ+cosθcosθ=1+tanθwe have to prove left hand side equals to right hand side so there are two…

Q: simplify the given expression  sin(2x)cos(6x)-sin(6x)cos(2x)

A: Explanation is given below...

Q: Find the exact value, in radians, of the expression. V2 sin 2

A: sin−1−22

Q: Complete the proof of the identity by choosing the Rule that justifies each step. tanʼx (csc?xr- 1)…

A:

Q: Verify the identity by following the steps below. sin(x)cot(x) cos(x) 1) Write the left-hand side in…

A: To verify the identity sinxcotx=cosx.

Q: Verify the identity. (Simplify at each step.) (1 + sin a)(1 – sin a) = cost - cos? a (1 + sin a)(1 –…

A:

Q: Use an identity to solve the following equation on the interval [0,2x). 2 cos ?x- sin x- 1= 0 Select…

A: The given equation is: 2cos2x-sinx-1=0 in the interval [0,2π).

Q: (1+sin?)(1-sin?) + 5 = cos2? + 5

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Verify the identity. (Simplify at each step.) (1 + cos a)(1 – cos a) = sin² a %3D (1 + cos a)(1 -…

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Q: Solve the equation tan2 − tan = 0    for θ, where 0 ≤ θ ≤ 2π.

A: To solve the equation tan2θ-tanθ=0, where 0≤θ≤2π. Solution: Solving the given equation,…

Q: Solve the equation below. 2sin?x – 1 = sin x if 0 < x < 2n.

A:

Q: Given x= what is the exact value of sin(2T-x)? 1 2 NI O 2 05/50 2

A: Use trigonometric coordinate

Q: Verify the identity by following the steps below. sin(x)cot(z) cos(x) 1) Write the left-hand side in…

A:

Q: Complete the steps by applying trig identities to simplify the expression as much as possible Steps:…

A:

Q: 10) Verify that the equation is an Identity. (tan? x+1)(cos? x-1) = - tan? x 11

A: We have to find out

Q: Solve the following. sin? (G) + cos?x = 1 where x E [0, 2n)

A: Solve  sin2(x/2) +cos2x = 1 .....(1)

Q: Apply the formula for cos (A - B) to the identity sin 0 = e )to obtain the addition formula for sin…

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Q: Verify the identity. 4 cos?(x) – 2 = 2 – 4 sin2(x)

A:

Q: Complete the steps by applying trig identities to that the left hand side of the equation is…

A: The solution is:

Q: Verify the identity by transforming the lefthand side into the right-hand side.

A: A function is usually represented as f(x) where x is the input to the function and f(x) represents…

Q: rewrite cos(x+4pi/3) in terms of sin(x) and cos(x)

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Q: 5. cos? x (tan? x + 1

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Q: f cosece - sin0 = m and sec0 – cos0=n,Prove that „?n) + (mn²) = 1

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Q: Complete the steps by applying trig identities to show that the left hand side of the equation is…

A: To prove : tan2x - sec2xcos x = -sec x

Q: 5. Simplify the expression cos" a–1 sin a-1 sec? a O - sec? æ O tan? x O - tan? z

A:

Q: . Complete the identity: sin2x + tan2x + cos²x =? A) cos3x B) sec?x C) tan2x D) sin x

A:

Q: 11 Evaluate 7 4 sin' x cos* x n 2 Evaluate cos° x dx.

A:

Q: Complete the steps by applying trig identities to show that the left hand side of the equation is…

A:

Q: Simplify: cos^4 A − sin^4 A

A: In this question, we need to simplify cos4 A -sin4 A.

Q: Use an appropriate identity to find the exact value of the expression. sin (165°) -N2Wa+1) 4

A: Consider the given expression: sin (165°)

Q: Complete the steps by applying trig identities to show that the left hand side of the equation is…

A: The steps are as follows

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.