Prove the identity. +x + sin 6. sin = cos x

Q: sin xdx 3. S 7+cos? x

A: Given integral, ∫sinx dx7+cos2x

Q: Rewrite – 2 sin(r) + 3 cos(x) as A sin(z + o) A = $ =

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Q: Verify the identity. 6 cos2(x) – 3 = 3 – 6 sin?(x) - (| ([ 6 cos?(x) – 3 = 6(1 3 - 3 = 6 – = 3 - 6…

A: Given: 6cos2x-3=3-6sin2x We have to verify the given identity. Formula used: sin2x+cos2x=1

Q: Complete the identity. sin x coS X :? sin x cos X O A. sin xtan x O B. 1+ cot x OC. - 2tan x O D.…

A: Given

Q: Prove the identity. S.4.1 1-Sin 2A Sin A- Cos A Sin A - Cos A

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Q: 1- (tan z)? 1+(tan r)2 Use algebra to prove the equation cos s(2r)%3D

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Q: What expression is equal to the given expression below? 1- tan²x 1+tan²x a. sin 2x b. cos 2x -sin 2x…

A: Given: 1-tan2x1+tan2x We write tan x by using the ratio of sin x and cos x.

Q: 2. Prove the following identities. Show each step and use correct mathematical notation. a, sin (x-)…

A: Use the identity  sin(x+y)= sinx siny + cosx cosy sin(x-y)= sinx siny - cosx cosy

Q: Incorrect Your answer is incorrect. Rewrite sin 2cos as an algebraic expression in u. 4 :) - sin 2…

A: We use Trigonometry identities  Sin(2A) = 2 sin(A) cos(A)

Q: 3. Which is equal to (sin a + cos a) +(sin r cos a) using identities? CO O 2 -2 О-1

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Q: Q2/ A) Prove the identity Sin (A + B) + Sin (A - B) = 2SinA cosB %3D

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Q: Prove the identity sin x cos²x+ sin?x algebraically and CSC X determine the non-permissible values…

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Q: Verify the identity. (Simplify at each step.) 1 + sin 0 1- sin e 1 + sin 0 |cos e| 1+ sin e 1- sin 8…

A: We have to verify the given identity.

Q: PROVE THE GIVEN 2n sin? (V3 - 1) sin? 3 8

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Q: Verify the identity. (1 – sin?(t) + 3 cos?(t))² + 16 sin2(t) cos?(t) = 16 cos²(t) (1 - sin?(t) + 3…

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Q: 55. Verify the following identity and use it to give another proof of the formula (sin x)' = cos x:…

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Q: Verify the identity, show all steps. cos z+1 1+ sec x COS T ||

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Q: Rewrite – 3 sin(x) +4 cos(x) as A sin(x + ¢) A = Note: ø should be in the interval -n< ¢ < T

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Q: How do you solve this?

A: v is in first quadrant so v/2 is in first quadrant too.

Q: Which of the following is equal to cos x- sin' x ? 4 | O sin 2x O - sin 2x | O - cos 2x

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Q: Evaluate cos a sin'r dr. COS 2 3.

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Q: 4. Prove that the identity is true. 1- cos“ e sin? e 1+ cos e

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Q: G. Determine the value of ß that will satisfy the following. a) sin (4B + 10º) = cos 6B b) sec (3ß –…

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Q: 1-sin e 5. r2 cos e dr de

A: According to question∫0π∫01-sinθr2 cosθ dr dθ

Q: 14. Find the exact value of sin(-) if cos(r) 1 and 270° < x << 340°. ii) ii) - 2 iv) not listed

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Q: Rewrite 5 sin(æ) + 2 cos(x) as A sin(x + ø) A = $ = Note: ø should be in the interval – T < ¢ < T

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Q: 18. Which expression is equal to + tan x using identities? tan r 1 sin z cos x sin x cos x sin a Cos…

A: Which expression is equal to??

Q: Prove the following identity. (sin x – cos x)2 = 1 - sin 2x We begin by expanding the left side of…

A: Given : sinx - cosx2 = 1 - sin2x

Q: 11. cos (x) = sin (x + 20)° %3D I Answer:

A: We will use the trigonometric identity written below to answer this

Q: Find sin(a), given that cos(a) = 2/5 and sin(a) < 0.

A: As we know that, the trigonometric identity: sin2θ+cos2θ=1 Given: cosa=25

Q: What is the equivalent expression of sin ( - x)+ sin ( +x)? O a) cos (z) O b) - 2 c) d) V2 cos (z)…

A: The given expression is sinπ4-x+sinπ4+x

Q: How did the negative sign appear? To prove cos (iz) = cos h (z) = cos since et+e¬* eix +e-ix cos h…

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Q: 5. Verify the following identity. (sin? x) 1+secx sec x 1-cos x

A: We have to verify  the identity.

Q: Q2/ A) Prove the identity Sin (A + B) + Sin (A - B ) = 2SinA cosB

A: Given: sinA+B+sinA-B=2 sin A cos B To Find: To prove the given inequality.

Q: Find an equivalent expression to sin (z+) a) sin(2)-√3 cos(z) 2 b) √3 cos(z)+sin(z) 2 O c) -…

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Q: (e) Use Euler's formula to prove the following formulas for cos(r) and sin(x) : eiz + e-iz eiz –…

A: Since you have asked multiple questions in single request so we  will be answering only first…

Q: Complete the identity. sin x COS X =? sin x COS X O A. sec XCSC X O B. sin xtan x O C. - 2tan x 2.…

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Q: Verify the identity. (1 - sin?(t) + 3 cos²(t))2 + 16 sin?(t) cos?(t) = 16 cos?(t) (1 - sin?(t) + 3…

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Q: ind on the error that can result if cos(x) is approximated by 1 - (x2/2!) + (x*/4!) o Enter answer…

A: Here we have to find an upper bound on the error that can result if cos(x) is approximated by…

Q: -) Prove the identity. 1+ sin ß cos ß cos B + 1+ sinß 2 sec B %D

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Q: PROVE THE GIVEN 2n sin? (V5 - 1) sin? 3 8

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Q: 2 sec? r 1 1 Prove the identity: 1-sin x + 1+sin x

A: This is trignomertric question

Q: hich is the equivalent form of the expression 2+tan'z 1? - sec ӕ cos I cos z- 2 sin? x 1+sin2 z O no…

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Q: Q3:B. Prove that: sin-13 5 sin-1 = cos 84 17 85

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Q: Q 4: prove that * cos (a ± B) = cosa cos ß7 sin a sin B

A: Prove the following formula

Q: a) Simplify cos "+ sin (3x) in terms of x . 2 [Hint: cos(A B)= cos Acos B sin A sin B1

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Establish the following identity: (2 sin? 0 – 1)² sin* 0 – cos“ 0 -=1–2cos² 0 .

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Q: Prove Sin (A+B)+Sin (A-B)=2SinA.CosB

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