In Exercises 25-28 find dr/de. 25. r= tan (2 – 0) 26. r= sec 20 tan 20 27. r= Vo sin 6 28. r= 20V sec 0

Q: 15T 1) tan 4 10T 3) cos 3 11n 5) cot – 6. -

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Q: 1 sec A-tan Asin A = %3D sec A

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Q: 13. If tan(x) = 3/2 and cos x <0, find the exact value of sec x. %3D

A: Given, tanx = 3/2  cos x &lt; 0   We have to find sec x

Q: **#1.) In triangle JKL, mZK = 90° and tanl = Determine the value of cos). %3D

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Q: 7T then 3 If 0 = sin(0) equals Preview cos(8) equals Preview tan(0) equals Preview sec(0) equals…

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Q: Prove that: 1-tan? 0 cos? 0 - sin? e %3D 1+tan? 0

A: A function is said to be a rational function if it is given as the ratio of some values.  The…

Q: Show that (tan- x) = cos2(tan-1x) and then use Figure 8 to prove that (tan- x) = (x² + 1)-1. V1+x? y…

A: Given:

Q: 15 If tan 0 :-: sin 6 < 0. Determine sec 6.

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Q: 7.6, #1 Find the exact value of the expression whenever it is defined. sin (-)= %3D b. tan-(-V3) =…

A: As per bartleby guidelines we are allowed to answer only one question at a time.So kindly repost…

Q: Verify the identity. 1 sec 40 2 sin 40 sin 80 Statement Rule sin 40 sin 80 Select Rule Validate

A: We have to proff

Q: 3+ cos 30 de 1 sec – tan 5 5 16+ 02

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Q: Help me solve

A: We’ll answer the 1st question since we answer only one question at a time. Please submit a new…

Q: tan 6= .and 0s@s90 , then sin 0- O V3 2. V5

A: Solve for sin theta

Q: 17n ) sin (-) 9T b.) tan c.) CoS 6. 2 13п ) sec 3 e.) csc 4 f.) cot 4

A: Definition used -                          sin(-θ)=-sinθsin…

Q: Prove that Cot A Sec2A Sin2 A = Tan A. %3D

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Q: 2, 2. prove that tan¯0+cot-0+2= sec´0cosec´0

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Q: coS X sccr+ tan x 1- sinx

A: given,        cosx1-sinx=secx+tanx

Q: If * = 2 tan(0), then a. cos(0) Vx2 + 2 Ob. cos(x) = Vx2 + 4 c. sin(8) = Vx2 +4 O d. cot(0) 2 е.…

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Q: 13. sec*0 sin 8 de

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Q: Show that (tan−1 x)'= cos2(tan−1 x) and then use Figure to prove that (tan−1 x)' = (x2 + 1) −1.

A: The objective is to show that:  tan-1x'=cos2tan-1x.   Use the formula: ddxf-1x=1f'f-1x. Here,…

Q: True or False sin ( 20) has two equivalent forms: 2 sin 0 cos 0 and sin² 0 – cos 0

A: Given statement is, sin2θ has two equivalent forms: 2sinθcosθ and sin2θ-cos2θ.   The objective is to…

Q: If tan(0) = 5.35, what is the value of tan(-0)? %3D

A: Given ,  tan(θ) = 5.35  We have to find the value of tan(-θ) We know that ,  tan(x) = sin(x)/cos(x)…

Q: tan20 21-25. Verify = sec?e – sec 0 cose + 1

A: To verify: That tan2θcosθ+1=sec2θ-secθ. Formula used: Trigonometry identity: tanθ=sin θcos θ…

Q: Part 3 of 4 COS X d —CSC X + С dx To check for the result, prove that 1 - cos?x

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Q: 5л Compute the exact value of tan ( + 4 ). 6.

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Q: (45°) – tan (45°). Give the exact value of sec 2, 1 2/3-3

A: Use the trigonometric table to solve the given problem.

Q: Verify the identity. tan(0) sin(0) + cos(8) = sec(0) tan(0) sin(0) + cos(0) : sin(0) + cos(0) cos(0)…

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Q: 2. A 45° sin 45° = - Cos 45° = - tan 45° = -- CSC 45° = - sec 45° =- cot 45° =

A: We have to find value of all trigonometric Ratio at 45°

Q: 2) Verify that the equation is an Identity tan 0 %3D sin 0 sec 0 %3D %3D

A: We know that secx is the inverse of cosx and tanx=sinxcosx the objective is to prove the…

Q: Show that (tan- x)' = cos²(tan¬1 x) and then use Figure 8 to prove that (tan-1 x)' = (x² + 1)-1.…

A: Consider the given figure.

Q: 19. TT/2 -π/2 sin 0 de 20. * sec² 0 de

A: 19 ∫-π/2π/2 sinθdθ [-cosθ ]-π/2π/2 0 - 0 =0 other way sin is odd function so also integration is = 0…

Q: Find the value of 2 sin2 30° tan 60° – 3 cos2 60° sec2 30°

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Q: Suppose that sin 0 = V10 and 90° < 0 < 180°. Find the exact values of sin and tan- JT sin 2 %3D…

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Q: tan? 20° – sin? 20° Compute: Show your work. tan² 20° sin² 20°

A: Given  tan220°-sin220°tan220°sin220°

Q: find exact value 197 8. (a) cos 6 (b) сos 6 (c) cos 6 9. (a) cos 4 (b) cos 4 (c) cos 4 10. (a) sin 4…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: sec(20) 1+tan (0) 1-tan? (0)

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Q: 12 (b) sec ( sin 13

A: Evaluate the form.

Q: from the given information. tan(x) = 2,   0° < x < 90° sin x/2= cos x/2= tan x/2=

A: Given tan(x) = 2 So first find x ,   where 0° &lt; x &lt; 90°

Q: ? secv - tanv = 1/secv + tanv

A: solution is given below

Q: Q1- Show that cote)+tan(e) a. cofe)-tan(9) sec(20) b. sin(36) = 3 sin(@) - 4sin (0) = Se %3D

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Q: Find sec 0 if tan 6 and 0 terminates in QIII. sec e = :- 4 sec e = 3 5 sec 0 = %3D sec 6 sec 0: %3D…

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Q: Suppose that sin 0 3 and 90°<0< 180°. %3D Find the exact values of sin and tan 2 sin - 0 %3D 2 %3D…

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Q: Find the exact value of cos^-1(sin (7π/6))  show work

A: cos-1(sin7π6)nowsin7π6=-12

Q: 18. Prove tan (0)+1= sec (0) 19. Solve: 2cos? (3x) + 5cos (3x)- 3 = 0 a. b. 4 cos

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Q: [cos 20-i sin20cos 30+ i sin301² [cos 40+ i sin40 ]³[cos 20-i sin2015 using De Moivre's theorem?

A: We have to solve given Questions.

Q: 6. Given: secx=- 4, cotx>0 Find the exact values of sin 2x and tan SHOW ALL WORK. 6. sin 2x - tan =

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Q: TT CoS-+COs sin 3 = sin Prove that Sin 3 - 6. 6. 2.

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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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Q: tan 45, sec 60 5 sin 90 sin 60° 2 cos 0 cos135° Leave your answer in exact form (no decimals). 11.…

A: We will directly out the values of all of these then calculate.