Q: 7) e* Cos 2x
A: The function is f(x)=e-xcos(2x)
Q: 6. Use a special right triangle to write tan 60° as a fraction. a. с. 1 1 b. d.
A: To find tan60°
Q: For Exercises 59–60, use the sum-to-product formulas to verify the identity. 59. сos + t - cos 4…
A: Using the trigonometric sum-to-product formula, cosA-cosB=-2sin A+B2sin A-B2sinA+sinB=2sin A+B2cos…
Q: 2. Expand using a double angle formula. a) tan 5x b) -10cos 40x
A: Solving the problem with the using of double angle formulas.
Q: By expressing the product as a sum, 2cos(3x)cos(4x)= ?
A:
Q: For Exercises 12–17, find the exact value. 12. sin250° cos10° – cos 250°sin10° 13. tan- 12 14. cos…
A: sin250°cos10° - cos250°sin10° tanπ12 cosarctan3 + arcsin45 cos105° sin17π24sinπ24 sin555° + sin105°
Q: In Exercises 17-26, use an addition or subtraction formula to find the exact value. 17. sin- 12 18.…
A: Given 1)sin(7π12) 2) cos(105)We need to find the value using addition or subtraction formula
Q: | (2æ – 9)sin (a? 8) dæ = Evaluate 9ж + - Include all steps in your written work.
A: The given integral,∫052x-9sinx2-9x+8 dx
Q: a) Find the square root 14+ 4√6. b) If ƒ(r) = (2+1), show that ƒ(r) — ƒ(r+1) = r(r+1}(r+2). Hence,…
A: B. f(r) - f(r+1)
Q: 71. a. Is it true that sin (2 · 30°) = 2 sin 30°? b. Expand sin(2 · 30°) as sin(30° + 30°) using the…
A: To find sin(2 .30°)=2 sin 30°and Expand sin (30°+30°) using sum formula for sineFormula:sin 2θ =2…
Q: 1-tan20 %3D 1+tan20 =1-2sin20 4.
A: As per bartleby guidelines, I can answer only one question. So, please repost the 5th question and…
Q: 10 10 -1 If the sum tan (m + 4) b=1 a=1 (1) = mл, then find the value of
A:
Q: Evaluate the expression below. Round your answer to the nearest tenth. Sin 71degrees - tan…
A:
Q: True or false: If tan 3x = any integer n. + nn for 4 1, then x = %3D
A:
Q: A 10-point question on a quiz asks students to verify the identity sin x – cos x sin x - cos x. sin…
A:
Q: |2sin*e cos e de= .a 315 8. .b O 63 16 .cO 315 16 60 00
A:
Q: 7 4 CO 5 3.
A: we have to find left hand limit and right hand limit if both equal then limit exist
Q: tan (x) = 7.1. If x and y are complementary, what is cot (y)? %3D
A: Given, tanx=7.1 . If x and y are complementary.
Q: For Exercises 57–-58, use a sum-to-product formula to find the exact value. 31T 57. sin- 12 13T sin-…
A: Given: 57. sin 31π12-sin13π1258. cos 345°+cos 105° To Find: To evaluate the given expression.
Q: Use a sum-to-product formula to find the exact value of cos(285°) – cos(15°)
A: We will need the formula With A=285 and B=15
Q: ;(tan 8) can be expressed in the form 3tan*e + 3sec20- 3. do Show that Hence, find | tan*e de.
A:
Q: 8. [Essay] Find the approximate values of tan44.5
A:
Q: For Exercises 49-52, rewrite the equation so that the coefficient on x is positive. 50. y = 4 cos…
A: (50) coefficient of x is positive.
Q: 1) Evaluate. x cosh ax dx
A: As per guideline we have to solve one question
Q: Find sin 8. 4/5 4|5 m15
A: Take point in parametric form and compare with given point then solve
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: Find the length of the path over the given interval. (5(θ − sin θ ), 5(1 − cos θ )), 0 ≤ θ ≤ 2π
A: Given function is rθ=5θ-sinθ,5(1-cosθ) 0≤θ≤2π
Q: Write the expression as one involving only sin 0 and cos 0. sin 20 - cos 0 Choose the correct answer…
A: Given sin2θ-cosθ
Q: Express as a sum.(cos au)(cos bu)
A: Given : (cos au)(cos bu)
Q: Express the given sum as a product of sines and/or cosines. 3x 9x cos 2 + cos 2, 3x 9x Cos + cos 2…
A:
Q: For Exercises 45-46, use the given information to find the exact value of each expression. a. tan 20…
A: The tangent of any angle is the ratio of the perpendicular of the triangle to the base of the…
Q: | 2 cos®e de= COS 70 .a 256 35 128 70 T cO 128 35 256
A:
Q: complete the sum identity sin(x+y)= cos(? + φ)=
A:
Q: 7) Find the exact value of: tan 75° Fnd two unit dircle angles that add or subiract to 105 = tan (…
A: Given query is to find the value of tan (75).
Q: tan e lim is 3 5 sin e O a. 1 5 O b. 5 Oc -1 O d. o
A:
Q: Write the ratios for sin X and cos X. 12 5n Y 119 119 ,cos X = V119 a. sin X = sin X = %3D .cos X =…
A: XYZ is a right angle. So, sinX=ZYXY, and cosX=ZXXY⇒sinX=11912, and cosX=512
Q: Find the period N of the sequence x(n) = cos 2nn cos 15 + sin sin 8 60 15 120 4
A:
Q: 6. Show 1 – 8sin?0 · cos²0 = cos(40) 10 pts
A: To show that LHS=RHS
Q: Inside one leaf of the three-leaved rose r = cos(30).
A: In a polar coordinate system, a point is represented with coordinates (r,θ). The radial coordinate r…
Q: Express sinh (i) in the form a + ib
A:
Q: 14. Given 0° ≤ 0 < 360°, solve 8 tan 0 0 O 0°, 180° O 90°, 270° Ooº 90°
A:
Q: rewrite as a sum difference formula 8 sin 7x cos 3x
A:
Q: How do you evaluate ∫ sinmx cosnx dx if m is odd? What if nis odd? What if m and n are both even?
A: If n is odd use substitution with u=sin x, du=cos xdx and convert the remaining factors of…
Q: 41) Cos 3 x -COSX =0 Arsuas 00 0, エ 3TT 21
A:
Q: Write the product as a sum: 18cos(44z)cos(21z)
A:
Q: What is the approximate value of tan (3)? O-3.078 O 0.033 O 1.083 O2.468
A:
Q: 1 de 4-cose EIN
A: I have provided solution in step2.
Q: h₂ = = 3.75 sin(736t) + 7.5 and h₂ = 3.75 sin(736(t + 4))+ +7.5
A: answer of given question is in next step
Q: Which of the following correctly expresse 4sin (4a)cos a as a sum?
A: To find the correct option
Q: Prove the identity. cosh?x (cosh(2x) + 1) 2
A:
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- Use this information to solve Exercises 133–134. A ball on a spring is pulled 4 inches below its rest position and then released. After t seconds, the ball's distance, d, in inches from its rest position is given by d = -4 cos1. 133. Find all values of t for which the ball is 2 inches above its rest position. 134. Find all values of t for which the ball is 2 inches below its rest position.For Exercises 1–2, factor the expression completely. 1. sin*x – sin?xcos?x 2. 12 tan?x + 11 tanx – 15In Exercises 128–129, an object is attached to a coiled spring. In Exercise 128, the object is pulled down (negative direction from the rest position) and then released. In Exercise 129, the object is propelled downward from its rest position. Write an equation for the distance of the object from its rest position after t seconds. Distance from Rest Position at t = 0 Amplitude Period 128. 30 inches 30 inches 2 seconds 129. O inches | inch 5 seconds
- In Exercises 7–12, one of sin x, cos x, and tan x is given. Find the other two if x lies in the specified interval.For Exercises 43–46, given the values for sin t and cos t, use the reciprocal and quotient identities to find the values of the other trigonometric functions of t.For Exercises 12–17, find the exact value. 12. sin250° cos10° – cos 250°sin10° 13. tan- 12 14. cos arctan3 + arcsin- 17T 15. cos105° 16. sin- sin 24 24 17. sin555° + sin105°
- For Exercises 12–15, simplify completely. Write the answers with positive exponents only. 12. a. 9° b. -9° c. 9xº d. (9x)° 1 13. а. b. т -5 m c. 8m-n? d. 8m'n-2 14. (–12a-642 1 4 15. 2u°v -3.2For Exercises 19–26, use an addition or subtraction formula to find the exact value. (See Examples 2 and 5) 5T tan 4 + tan 35л 20. cos- 357. 5T + sin 18 12 19. sin 140°cos 20° – cos 140°sin 20° -sin 18 COS 21. 18 18 5T 1 - tan tan 4 12 tan 15° – tan45° 35л 22. sin- cos 36 137 35т . 13т sin- 23. сos sin- 24. 1 + tan 15° tan 45° sin COS 3 6. cos 18 36 18 10T 26. sin- 10л . 7т sin 9. 25. cos 200°cos 25° - sin 200° sin 25° + cos COS 18 18