Complete the proof of the identity by choosing the Rule that justifies each step. sin'x- cos'x = 2 sin²x-1 To see a detailed description of a Rule, select the More Information Button to the right of the Rule. Statement Rule sin x - cos'x sin'x - (1 - sin’x) Rule ? 2 sinx - 1 + sin´x Rule ? = 2 sin"x - 1 Rule ?

Q: sin 2x Verify 1+ cos 2x = tan x.

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Q: cos x Prove: tan x = sec x. To receive full credit, you must show all steps. - 1-sin x

A: To prove,           cos x1-sin x - tan x = sec x.

Q: aresin(sin(-5). 3 arcsin( sin( – sin(-"#))- 4 arccos( cos(- 6. IT arccos( cOS 3 II

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Q: Prove the identity. = csc 2x 2 tanx (1- sin´x) Note that each Statement must be based on a Rule…

A: Solution

Q: Españo 10 11 Prove the identity. sec (-x) – sin (-x) tan (-x) = cosx Note that each Statement must…

A: Using the property of sin(-x)=sinx and cos(-x)=cosx. Explanation is given below

Q: 1-sin'(플-x)

A: The objective is to simplify the expression.

Q: If tan x = -1/3, cos x > 0,, then | sin 2x -6 cos 2x -1 tan 2x -3/4

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Q: In(|tan(x) sin(x)]) = 2 In(|sin(x)|) + In(|sec(x)|)

A: i will use the log rule: ln a +ln b=ln(ab) and some trigonometric rules.

Q: Complete the proof of the identity by choosing the Rule that justifies each step. (1- sin x) tan.x=…

A: Topic- trigonometry function

Q: Verify the identity. (Simplify at each step.) Let 8 = sin X-2 tan(sin−¹(*²)) = √9+ (x - 2)² X-2 -¹…

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Q: Verify identity (csc x - cot x)2 =(1 - cos x)/(1 + cos x).

A: The given identity is csc x-cot x2 =1-cos x1 + cos x

Q: Complete the proof of the identity by choosing the Rule that justifies each step. (1– sin*x) tan²x=…

A: In the question it is asked to prove the identity (1-sin2x)tan2x=sin2x

Q: ch expression is equal to tan² x sin² x using identities? X tan² x + sin² x

A: Please refer to the image below

Q: Prove the identity. csc (-x), cos (-x) sec (-x) sin (-x) =-2 cotx Note that each Statement must be…

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Q: Complete the proof of the identity by choosing the Rule that justifies each step. (1+tan ²x) cotx =…

A: The given identity,     1+tan2xcotx=secx cscx

Q: Complete the proof of the identity by choosing the Rule that justifies each step. sin'x- cos'x = 2…

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Q: 1-cotx Verify the identity = 1- sin 2x CSC X

A: 1-cot xcsc x2=1-sin2x L.H.S=1-cot xcsc x2        =(1-cot x)2csc2x= 1+cot2x-2cotxcsc2x=…

Q: Verify identity sec x - sec x sin2 x = cos x.

A: Given ,           sec(x) - sec (x)sin2(x) = cos (x).

Q: If cosx = -2/3 and tanx < 0, then sin(x)= tan(x)=

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Q: Prove the identity. sin(-0) sec(-0) cot(-0) = 1

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Q: 1- Sin'x = cos1-x?

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Q: Prove the identity. sin²x 1-cos.x +1+cos.x Note that each Statement must be based on a Rule chosen…

A: To prove:- sin2x1-cosx=1+cosx

Q: 1. If tan x = -3 then tan (-x) =  2. If sin x = 0.3 then sin (-x) = 3. If cos x = 0.2 then cos (-x)…

A: Answer 1. We know that  sin(-x)=- sinx and cos(-x)= cos x  tan x= sin xcos xHence  tan (-x)= sin(-…

Q: Verify the folowing equation is an identity with work shown…

A: We need to check whether the given equation is an identity or not.

Q: tan x = 2 then what does tan(-x)=? if sin x = 0.5 then what does sin(-x)=? if cos x = 0.4 then…

A: We have to find the value

Q: Find the tan x/2 = (1-cosx)/sinx under the conditions where tanx=-1/3 and cosx &gt;0. Draw a right…

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Q: Prove the identity. sin (x-y) = tanx-tany cosx cosy Note that each Statement must be based on a Rule…

A: To prove the identity.

Q: 15. Verify the identities: a) csc x -sin x = cos x • cotx b) tan²0 1 + sece 1 - cose cose

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Q: Prove the identity. sin x- sin 9x =- tan 4x cos x+ cos 9x Note that each Statement must be based on…

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Q: Complete the proof of the identity by choosing the Rule that justifies each step. (1– sinx)(1+ sinx)…

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Q: 5) [ Arc sin- xdx

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

Q: Evaluate: lime 1-sin 0+cos 0 sin 20-cos 0

A: The objective is to evaluate the limit.

Q: Verify the folowing equation is an identity with work shown (sin4(x)-cos4(x))/sin2(x)=2-csc2(x)

A: To verify:

Q: Smx sınxtanx+ a) Explain the method for proving tanx cosx is an identity.

A: The method to prove the given identity is to transform the the any of the sides equal to the other…

Q: csc*x - cot"x = (1 + cos²x)/sin²x

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

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Q: Complele uie proof of the identity by choosing the Rule that justifies each step. (1- cos x) secx =…

A: We are given: 1-cos2xsecx We need to prove: 1-cos2xsec(x) = sinx tanx

Q: Prove the identity. sin = +x = cotx sin (n-x) Note that each Statement must be based on a Rule…

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

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

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

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Q: sin 20 tan 0+ sin 0 Prove the identity algebraically for all permissible values of 0 and 2 cos? 0…

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Q: Prove the identity. sinx/1+cosx +1+cosx/sinx = 2 cscx Note that each Statement must be based on a…

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Q: If tanx=-1/3 then cosx>0 Find Sin2x,cos2x and tan2x

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Q: Complete the proof of the identity by choosing the Rule that justifies each step. (1- cos x) secx =…

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Q: Complete the proof of the identity by choosing the Rule that justifies each step. sin’x- cos'x = 2…

A: Rule used, Sin2x+Cos2x=1

Q: Complee e proof of the identity by choosing the Rule that justifies each step. sin'x- sin x=cos"x-…

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Q: Verify the identity. (Simplify at each step.) 5 sin2 x − 5 sin4 x = 5 cos2 x − 5 cos4 x   5 sin2 x…

A: Given identity is,5 sin2 x − 5 sin4 x = 5 cos2 x − 5 cos4 xConsider,5 sin2 x − 5 sin4 xTake out 5…

Q: Solve for x in the equation: arc tan (x + 1) + arc tan (x – 1) = arc tan (12)

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Q: cosx-sin² x cot2 x· secx - 1 = sin? x

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.