What is / 4 sec 0 tan 0 dO? O 4 sec 0 tan 0 d0 = 4 sec 0 + C o | 4 sec 0 tan 0 d0 = –4 sec 0 + C o [ 4 sec 0 tan 0 d0 = 4 cot 0 + C

Q: (A) Verify the identity (i) (1 + tan² x)(1 - sin2x) = 1 sec x - 1 %3D tan x (ii) tan x sec x + 1 1+…

A: We have to prove the identities.

Q: 5- Prove that a) tan x (csc x – sin x) = cos x b) 1+ sec?x sin?x = sec?x

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Q: Why is arctan(0) equal 0. Tan of 0 is 0 because sin0/cos0=0/1. So that makes tan (0)=0. But arctan…

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Q: Prove that: 1) csc 0 + tan 0 . sec 0 csc 0.sce20 1-cos" x 2) sin x .cos x tan x 3) 3 cos' x-sia x+1…

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Q: Verify the identity. tan(0) sin(0) + cos(0) = sec(0) tan(0) sin(0) + cos(0) sin(0) + cos(0) cos(0)…

A: (1)tan(θ)sin(θ)+cos(θ)=sec(θ)tan(θ)sin(θ)+cos(θ)=sin(θ)cos(θ)·sin(θ)+cos(θ)…

Q: 2. cot 0= sin 0 = cos 0 = tan 8 = csc = sec 0 = 2

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Q: Which of the following is equal to tan(T – 0)? sin(0) O cos(0) O sec(0) O csc(0) tan(8) cot(8) -…

A: Just I have used the trigonometrical formulas and identity and get the required solutions.Solutions…

Q: 3. Verify: sec?x cot x – cot x = tan x 1 4. Verify: = cot x tan x cscx sin x

A: TO VERIFY THE FOLLOWING EXPRESSIONS TO PROOF 3. sec2x cotx - cotx = tanx4. 1tanxcscxsinx = cotx…

Q: How do I get the re the result inside th Lel, tan' (2) = t » tant = 7 Sint it it e Sint = Cit +o)/2…

A: Euler's Identity

Q: a) Prove Sin` 39 = 3 Sino 3 sine 4 Sin's %3D Hhence, find the valne 9 n the trianle? 30

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Q: 8 b) tan 0 and sin 0 < 0 15 sin 0 cos 0 tan 0 sec 0 Csc 0 cot 0

A: Given that  tanθ = -815

Q: 9(cos²z – 1) %3D sin z coS I – sin z 9 tanz + 9 secx O 9 sin r+9 cos r O 9 cot z+9 sec x O 9 cot z+9…

A: Simplify.

Q: 2. The cancellation property sin (sin x) = x is valid for x in the interval Which of the following…

A: (i) Consider the provided information, sin-1sinπ3=π3 Prove that left hand side is equal to right…

Q: ue or false? (same answer) sin( 5π/6) = 1/2 and  arcsin( 1/2) = 5π/6  sin−1 x =1 sin x

A: Given: sin5π6=12 and arcsin12=5π6 To determine sin-1x=1sinx is true or false.

Q: Since tan(x) sin(z) cos(z) we can use the quotient rule to find tan(x) dr sin(z) 2 cos(x) Which of…

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Q: – 1) sin a cos a - sin æ 9(cos² e – 1) O 9 tanx + 9 sec a O 9 cot a + 9 cscx O 9 tana + 9 csc a O 9…

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Q: Please help me verify this identity: 1/1 - sin^2 y = 1 + tan^2 y

A: Given query is to prove the identity.

Q: Prove: 1) 2) sec 0 + tan(-0) cot - cos(0) = sec 0 tan 0 1 cos x + sin x sin y = sin 2 3y 2 COS (²)…

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Q: 8 If tan 0 15 what is sin 0? sin 0 = [?] %3D

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Q: establish each identity.

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

Q: 4. у%3D 3 sin(10х) 5. у %3D cot(2x3) 6. у %3D cot?x

A: Our objective is to differentiate the above questions.

Q: 13. Prove. 1+ tan 0 a) cos 0+ sin 0 = sec 0 1 b) 1- sec 0 1+ sec 0 1 = -2 cot? 0 ,2 c) cos 20- cos…

A: Note : Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

Q: Which of the following is equal to sin(27 – 0)? sin(0) cos(0) sec(0) csc(0) tan(0) cot (0) - sin(0)…

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Q: 9. у %3D 4sin' (2xх) 10.у %3D tan? (x3) 11.у %3D sec(-х2 + 3х — 4)3

A: Question 9,Given,          y=4sin32x

Q: In Problems 28–44, establish each identity.

A: Trigonometric identities are given, we have to prove the identities. Note: we are answered with 3…

Q: What is the value of 4 (sin x tan dx X)? a) sin x + tan x sec x b) cos x + tan x sec x C) sin x +…

A: ddxsinxtanx= cosxtanx+sinxsec2x=sinx+tanxsecx

Q: +sin 0 1-sin 0 4 tan 0 sec 0 -sin 0 1+sin 0

A: Given query is to prove using identities of trigonometric functions.

Q: Determine the value of  tanz if sinz + cos z=0.2 and pi>z<pi/2

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Q: Prove A. Sin(20) = It Cot"@) 200+(0)

A: We know that cot x = cos x / sin x  And sin ( 2x ) = 2 sin x cos x

Q: Graphing a Trigonometric Function In Exercises39–48, use a graphing utility to graph the…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: 16. (tan 0+cot@y = sec 0+ csc? 0 tant

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Q: Compute tan" z · sec² æ dæ. O tan12 z tan10 z +C 12 10 O tan° a tan10 a +C 10 tan12 a sec æ +C 3 12…

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Q: 2+ sin 30 do 1 (b) / sec 0 tan 0 3 9 – 0²

A: To evaluate the given integral.

Q: 2. Verify: sin x+tan x %3D sin?x sec x cSc x+cotx

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Q: Find sec(x) ans sin(x) given cot(x)=4 and sin(x) >0

A: Given that cot(x)=4 and sin(x)&gt;0 We have to find sec(x) and sin (x)

Q: Prove Vsec20+ csc²0 = tan 0 + cot 0 %3D

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Q: Find sin 0 and tan 0 if the terminal side of 0 lies along the line y = 40 in quadrant I. %3D 4/17…

A: Answer

Q: 1+sin 0 sec 0 + tan 0 1-sin 0 True False Leave Question O O O

A: We have to state true or false.

Q: Prove the identity. sin(n-x)сos(n+x)tan(2π − x) T 3π 3π sec+ x)csc(³7-x)cot (³7 + x) = sin^x - sin²x

A: I have appended the formula used in the solution part of the question

Q: 1. sec x – tan x sin x = secx 1+cosx 2. = cscx + cotx sinx secosine 3. tan0+cot0 sin20 secß 4. tanß…

A: Here we prove the trigonometry equations.

Q: sec 0 = cos 0; csc 0 = sin 0 csc 0 = cos 0; sec 0 = sin 0 sec 0 1 ; CSc 0 1 sin 0 cos 0 1 O csc 0…

A: To find which of the given sentences is correct

Q: 2. Verify: sin x+tan x %3D sin?x sec x csc x+cotx Sink+tanx

A: We have to prove the identity

Q: the exact value of a. sin 2° b. cos 2° с. tan- 2° 4 T 55. sin 0 5' 2 12 TT 0 62. csc 0 = V7, tan 0…

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Q: 4 tan 0+ tan? e-3 14) 3 cot* 0+11 cot? 0 – 4 15) 3 csc? 0 - 4 sec? 0

A: Given: 14)  4tan4θ+tan2θ−3sec2θ15)  3cot4θ+11cot2θ−43csc2θ−4

Q: 61. sec 2 1+ cos 0 65. cos 64. tan = csc v - cot v sin (30) 67. cos (30) = 2 sin 0 cos 0 2.

A: (61) We have to prove, sec2θ2=21+cosθ We know that, from half angle formula cosθ2=1+cosθ2 On…

Q: prove it 9. sinx cotx + cosx tan?x = 1 10. (tan x + cot x) = csc?x sec²x sin 2x 11. 1+ cos 2x = tan…

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Q: 8(cos" z-1) sin z cos E sin z O 8 cot z+8 secz O 8 tan z +8 cscz O 8 tanz t8 sec z O 8 sin z+8 cosz…

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Q: 8. If tan 0 = 15 what is sin 0? sin 0 = %3D iblo

A: The solution is given below in the next step:

Q: 1+sin A cos 2 sec u – cos µ = sin µ tan µ 4. + 2 sec 1 %3D cos A 1+sin A

A: We have to verify the given identities.

Q: Recall that sin² 0 means (sin 0)². V5 find sin2 0. If sin 0 = 3 %3D sin? 0 = %3D

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