= Homework: Section 5.6 Homework If tan 0 = 2 0<0< find sin - 21 * sin %3D (Simplify your answer, including any radicals. Use integers or fractions

Q: 29. Show that sin x rif0<1 <2m.

A: Given a function sin x and 0&lt;x&lt;2π To show sin x&lt;x for all values of x such that…

Q: Find all solutions to tan(x)=sec(x) that lie in the domain [0, 2)

A: tan(x)=sec(x) Given interval is [0, 2).

Q: Section 5.2, Exercise 75 (page 329 in Text). Exercise 75: 1+cos x/1-cosx   (-)  1-cos x/1+cosx = 4…

A: Solve the following

Q: Find the exact value of cos2 15° - sin2 15°.

A: We have to find the exact value of cos2 15°-sin2 15°Formula used :-Cos 2θ= cos2 θ-sin2θ -1

Q: Solve for [0,2]. sin(3) COS -2 2.

A: We use the double angle formula to write the given function in sin function.

Q: Find (ot (Sin-¹) (-1))

A: cotarcsin-36Use the following property: arcsin-x=-arcsinx=cot-arcsin36Use the following property:…

Q: Chapter 6, Section 6.3, Question 012 Use the Fundamental Theorem to evaluate the definite integral…

A: Given,

Q: The solution to the equation sin 2x = – sin(-x) in the interval (0, 2x) includes %3D

A: Use sin2x=2sinxcosx and sin(-x) =-sinx

Q: (6cotx-6)/ (1-tanx) solve this

A: Given,          6cotx-61-tanx

Q: simplify a. sin^2(3x)+cos^2(3x) b. cos^2(3x)-sin^2(3x)

A:

Q: If sin-1 (sin π/3) = π/3, is sin-1 (sin 5π/6) = 5π/6? Explain your answer.

A: It is given that sin-1sinπ3=π3.

Q: Suppose a = 2 tan a. Rewrite in terms of sines and cosines: 1 x² + 4

A: Given x=2 tan a To simplify 1x2+4

Q: 0 12 cos 90°

A: 1) cos90 2)tan135

Q: 1. sin62° =

A:

Q: e of sec(tan-1 square

A: We know,      tan-1(3)=π3    sec(π3)=2

Q: Find the first ten positive roots of cos 30 + sin 0. Show your work.

A: Given Equation : cos3θ+sin θ3 +12 =0 Find the positive roots of the equation.

Q: Find tan 0 if sin 0= 1/4 and 0 terminates in Q1

A: Given, θ terminates in Q1 So, tan θ i s positive

Q: *Sketch : 3 sin (x-Tt/4) +2 إضافة ملف

A: y=3sin(x-π4)+2

Q: Sketch 7 +4 sin 0 +3 cose

A: Let f(θ)=7+4sinθ+3cosθ .Rewrite the function into sine form only .…

Q: 3. Evaluate 5 sin rdr

A:

Q: 57 tan 4 177 Determine the value of x if D, sin(7-x)= csc 3 6. where 0sxST.

A:

Q: Determine the value of 0 in sin(40 + 2°)csc(30+5°) = 1 O 3° O 4° O 5° O 2°

A: sin(4θ+2°)csc(3θ+5°)=1sin(4θ+2°)×1sin(3θ+5°)=1

Q: Find a particular solution to 3 " sin (3t). 2 -3 5

A:

Q: For Exercise 68, Section 5.2, exercise 68: sin^4 α - cos^4 α / sin ^2 α - cos^2 α=1

A: exercise 68: sin^4 α - cos^4 α / sin ^2 α - cos^2 α=1

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

A:

Q: Solve each equation for 0< 0< 2n. 1) -1 = tan 2 3) sin -20

A:

Q: show that there is a root of sin(x2)=e2-2.

A: To show that there is a root of sin(x2)=e2-2.

Q: 5/2 Sin'2 cos3x

A: write ∫sin52xcos3xdx as ∫sin52xcos2xcosxdx. Use the identity sin2x+cos2x=1. So,…

Q: Find sin a. (-/5 ,2) [ ?] 1

A:

Q: 6. If tan 0 == 0<8<;,find sin - %3D 5 2 2 sin 2 %3D (Simplify your answer, including any radicals.…

A: To find sin(theta/2)

Q: Find the solutions of sin^2x-sinx-2=0 in [0,2pi).

A:

Q: Find all exact solutions of sin(x/7)= √3/2

A:

Q: sin[sin^(-1)(3)/(5)+cos^(-1)(-(4)/(5))] =

A:

Q: = 1 16x 15 (sin 4x) - — sin ³ax 150° sin³ax 48

A: Here we have to evaluate 110x-164sin4x-148sin32x50°60°

Q: 2) Explain why sin(@) = cos(90 - 0). %3D

A:

Q: Verify the identity. (Simplify at each step.) (1 + sin α)(1 − sin α) = cos2 α (1 + sin α)(1 − sin…

A:

Q: Prove that 3x Question 4 (i) sin(tan-(3x)) cos(tan-(3x)) = 1+ 9x² d 1 (ii)- sin-'(/) = dx 2a/1 – x

A: A detailed solution is given below.

Q: 76. Explain why sin 3° + sin 357 = 0. %3D

A:

Q: sin 60⁰

A:

Q: do o find 4+ 3 sin 0

A:

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…

A:

Q: Chapter 6, Section 6.3, Question 009 Use the Fundamental Theorem to evaluate the definite integral…

A: Consider the given integral.

Q: 2) Explain why sin(8) = cos(90-e). %3D

A:

Q: 4. Simplify sin 0-1 cos 8-1

A:

Q: Sketch : 3 sin (x-Tt/4) +2

A:

Q: Verify the identity : 2 sin2x-1= 1- 2 cos2x

A:

Q: Find the principle solution of tan(4 – 4x)= 0. %3D

A: find for x tan(4 - 4x) = 0 4 - 4x = tan-(0)              [ take both side tan inverse 4 - 4x = 0…

Q: 7 sin 0 – 1= 5 sin 0

A: