Prove the following cosecß cot B tan B sin ß tan? 0 = cosec 0 tan? 0 – 1 I. П.

Q: Which of the following is not equivalent to sin 0? sin 0(1 + cot? 0) cos 0 tan 0 Option 1 Option 2…

A: Use trigonometry expression.

Q: Prove the following trigonometricidentity: 1 +. sin 6 tan 8 + cos 8 tan 8

A: Use the standard Trigonometric identities to prove this identity.

Q: tan'z- sin a = tan a - sin"

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Q: If A +B = 90° Prove that tan A tan B+ tan A cot B sin' B = tan A sin A sec B cos A

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Q: Prove the following identities: tan 0- cot 0 sec? e - cosec 0 = tan? 0- cot? 0 sin O cos 0

A:

Q: Which expression is equal to tan cot sec t COS e using identities? O sin z COS E O 1 O-1

A: We have to check

Q: Prove the following Sin hZ=0

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Q: Substitute cos 60 = u. Differentiate with respect to e on both sides. sin 60 de = du

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Q: Use the following conditions to find the exact value of tan(α - β).

A: Trigonometry: sinα=45,π2<α<πcosβ=513,0<β<π/2We need to find…

Q: Which of the following is 2 equivalent to tan x + cot x where x = -? 2 sin 0 2 sin 0 2 Option 1…

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Q: 7. Let tan u = and sin v = , with n <u < and < v<T. Find the exact value of sin(u – v). 13

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Q: Find tan'e de cos*e 33. sin o 36. Cos

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Q: ubrey tried to prove that sin(0) = cos(180° – 0) using the following diagram. Her proof is not…

A: Given that Aubrey tried to prove sinθ=cos180-θby using the given diagramAnd her proof is not correct…

Q: 3. Which expression is equal to tan z SAP cot a rer m using identities?

A:

Q: Which of the following is a value of tan 0 if V3cos 0 - sin 0 = v2? -V3 + 2 V2 + 3 O Option 1 O…

A: Given  3 cos θ - sin θ = 2 We have to find the value of tan θ.

Q: Verify the following identities: 1. cot(x) + tan(x) = sec (x) · csc (x) CO %3D

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Q: Which of the following is equivalent to cos 0? cos 0(1+ tan? 0) sin 0 + tan 0 1+ sec 0 O Option 1 O…

A: Checking all options by simplifying.

Q: A right-angled triangle xYZ has an angle, o, where sin o = 5. Without evaluating &, calculate the…

A:

Q: Determine the following statement is true or false.Sec(theta)sin(theta)=cot(theta)

A: we know that secx=1cosx                                                   ..1 so, by using equation1…

Q: b. In cot(r)- In| tan(r) = 2 1n cot(r)| %3D

A: Topic = Algebra

Q: If A +B = 90° %3D Prove that tan A tan B+tan A cot B sin? B = tan A sin A sec B cos A

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Q: Find the following. V5 tan given tan B = 2' with 90° < B < 180° 2 tan %3D -

A: We will use formula for Tan(A+B)

Q: Which of the following expressions is exactly 1? T 3 7) T cos () cot ( sec ( 품) tan (4) - O sin (품)…

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Q: Verify the following identity. -2 tan e sin 20 = 2. 1+ tan 0

A: Here I am attaching image so that you understand each and every step.

Q: Prove the identity on a separate sheet of paper. tan 6+ sin e cos 2 tan e

A: In this question we have to prove the following identity.

Q: To evaluate tan z cos z dz, we may substitute u= cos z.

A: Given,          ∫tan3xcos2xdx

Q: b. In cot(x)- In | tan(x)| = 2 1n| cot(x)|

A:

Q: Verify the following identity: sin 20 – tan 0 tan 0 cos 20

A: To verify the identity: sin 2θ-tan θ=tan θ cos 2θ

Q: Verify the following identities. 1 (1- cose)(1+ cos 0)= csc? 0 2 а. sine(tane + cote)= sec e b.

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Q: 1. Verify that the following equations are the identity csc2 (-x) tan(x) cot(-a) - sec2 (r) a. %3D |

A: Given problem:-

Q: sin 4t-sin 2t tan t cos4t-cos 2t 5.

A: I am attaching image so that you understand each and every step.

Q: Verify the following identities: sin 20 – tan 0 tan 0 cos 20

A: Solved below

Q: Suppose that Cos t = whe re a.) what is the exact value of sin t? b.) what is the exact value of tan…

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Q: Evaluate the following dete sin a cos a sin(a+0)| (a) sin 3 cos ß sin(3+0) sin cos sin(y+0)|

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: If an answer is undefined, enter DNE. sin (270°) = %3D cos (270°) = %3D tan (270°): %3D cot (270') =…

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Q: 16. Complete the following table of signs: ө sin 0 cos e tan 0 cot 0 sec 0 csc e 0 < 0 < <A < : 2 Зл…

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Q: Show that the following holds true. 1 csc A = sec A = cot A = sin A cos A tan A sin A = cos A tan A…

A: In any right angled triangle, sin A=OppositeHypotenusecos A=AdjacentHypotenusetan…

Q: Prove the following identity. sin 20 cot 0 = 1 - cos 20

A: givencotθ=sin2θ1-cos2θwe know double angle formulasin2θ=2sinθcosθcos2θ=1-2sin2θlet us consider right…

Q: Find the tangent of 2Q. 39 80 S. 89 Write your answer as an integer or as a decimal rounded to the…

A: tanx= perpendicular / base

Q: Evaluate 1- Sin L Cos L do 2- ( sing ecasy Sdt J-t44t-3 3-

A:

Q: Evaluate the expression under the given conditions. sin(0/2); tan(0) O in Quadrant IV (assume 0 < 0…

A: Given θ in IV quadrant So sine will be negative

Q: If A +B = 90° %3D Prove that tan A tan B + tan A cot B sin' B = tan A sin A sec B cos A

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Q: Q2-By using the formula cos(A – B) = cosAcosB + sinAsinB & %3D sin(A – B) = sinAcosB- cosAsinB…

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Q: Which of the following is 2 equivalent to tan x + cot x where x =- 2 sin 0 2 sin 0 Option 1 Option 2…

A: The given expression is: 2tan x+cot x=2tan x+1tan x=2tan xtan2x+1=2tan xsec2x=2sin xcos x1cos…

Q: for which a applies that tan(a) = 2 and that o<a< I. Decide a) sin (a) B) cos(a)

A: Please see the below picture for detailed solution.

Q: Prove the following Identity: 1- sine (sece – tane)? 1+ sine

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Q: cos(a –b) = tan a + cot b %D cos a sin b

A: Given that

Q: Prove the following identities: sine tan e = sec e cosec 0 + cote 1-cos e 1+cos e

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Q: 12. Verify the following trigonometric identities. tan (x) sin (2x) = 2 – 2 cos (x)

A: To verify the identity: tan(x)sin(2x)=2-2cos2(x) Solution: We know, tan(θ)=sin(θ)cos(θ)…