Q3. A projectile is launched from point A with the initial conditions shown in the figure. After applying the equations of projectile motion, the equation below is determined. Calculate the angle a required for the projectile to reach to point C. Take the initial guess for a as 0.5 rad. 150 m vo= 68-m/s" 38.2 m A 400 sina cosa – 169.7 = 38.2 cos?a

Q: The height in em of a pendulum as it swings is given by h 8 cos Tt + 12 where t is time in seconds.…

A: As per our guidelines, we can answer first three subparts. For other question solution please…

Q: The trajectory of a bullet is given by x = vo cos(a)t, y = = vo sin(a)t 6. 2962 т where vo = 450-…

A:

Q: In APQR, the measure of ZR=90°, QP = 73, PR = 48, and RQ = 55. What ratio represents the sine of ZQ?…

A:

Q: When throwing an object, the distance achieved depends on its initial velocity, v0, and the angle…

A:

Q: Find the equation of a sine wave in the form y = a sin(bx + c) + d that is obtained by vertically…

A: Topic- function

Q: Jessica is using the image below to derive a formula for arc length. If x is measured in radians,…

A:

Q: Find the equation of a sine wave in the form y = a sin(bx + c) +d that is obtained by Vertically…

A:

Q: 4. Given the equation x(t) = 10 cos(t/3). Find the amplitude, frequency, period and displacement…

A:

Q: valuate the expression under the given conditions. sin(2θ); sin(θ) = 1/9, θ in Quadrant II

A: Given that: sinθ = 19& θ lies in quadrant II.

Q: . Show that for a small angle 0, measured in radians, sin 30(1– cos 20) z 60³ .

A:

Q: At 9:00 AM, a thermometer reading 70°F is taken outdoors where the temperature reading is 15°F. At…

A: Thermometer reading at outdoors, Ts = 15°FThermometer reading at indoors, Ts' = 70°F At 9:00 AM, t0…

Q: Express sin e (0 in quadrant IV ) in terms of cot 0.

A: The trigonometric identities are expressions in trigonometric functions that are true for all values…

Q: From the information given, find the quadrant in which the terminal point determined by t lies.…

A:

Q: 4) If sin t = and t is in quadrant II, find the values of all the 5 Erigonometric functions of t.

A: Given, sint = 35  t is in quadrant II We have to find the values of all the trigonometric functions…

Q: The position of a particle moving along a coordinate line is given by: s(t) = 10 cos a) What is the…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: -V3 and cosec 0 = 2, without using a calculator, calculate %3D the value of sec20+ tan20 5 answer :…

A: Consider the provided question, Given, cotθ=-3  and  cosecθ=2 We have to find the value of…

Q: Estimate " sin?xdx using a.) R4 b.) L4 c.) M4. Round to 4 decimal places.

A:

Q: Which of the following methods cannot be used to solve for side b n the diagram below? Sine Law…

A: We have to find that which of the given methods can be used to find the side 'b' in the following…

Q: Use a sketch to find the exact value of y. 3. y = csc sin 4 O A. O B. C. O D. + |3 3/1453 M |5

A:

Q: Obtain the general solution to the equation. 2. (sin? y + x cot y)y' = 4

A: solve the above differential equation.

Q: IfØ is the angle between a line through the origin and the positive x-axis, the area, in cm?, of…

A: Given that: A=3θ+4sinθ+12sin2θ Therefore, rate of change of area charging is as following: dAdt.…

Q: I don't understand the questions

A:

Q: From the information given, find the quadrant in which the terminal point determined by t lies. (a)…

A: Find the quadrant

Q: O in Quadrant I, cos(@) : V5 p in Quadrant II sin(0 + q); sin(0)

A: Consider the given expression. sinθ+φ It is given that sinθ=45 and it is in quadrant I. cosφ=-55 The…

Q: The displacement of a particle on a vibrating string is given by the equation s(t) = 15+sin(8t),…

A:

Q: The position of a particle moving along a coordinate line is given by: s(t) = 10 cos %3D

A: We have to find

Q: Use a sketch to find the exact value of the expression. 4/41 cot sin 41 O A. - O B. V41 C. 4. 4 O D.…

A:

Q: Given sin a = 0.262 and sin ß = 0.344 with both angles' terminal rays in Quadrant-I, find the…

A: Solution of given question is written in below steps.

Q: Q 11: Determine the measure of the central angle that is formed by and arc length of 5 cm in a…

A: Solution: Given, Arc length(s) = 5 cm            Radius(r) = 2.5 cm Now, We know that arc length(s)…

Q: A 12-foot ladder that is leaning against a wall makes a 75.5° angle with the level ground. Which of…

A:

Q: Assume Za is opposite side a, ZB is opposite side b, and Zy is opposite side c. Solve triangle ABC…

A: we have given∠A =α =37.7° , b=8.8 ft , c=17.5ftaccording to law of cosinesa2 =c2 +b2 -2cbcosα

Q: Michael wants to build a ramp to reach a basketball rim that is 12 feet high, and the anale of…

A: Given that Micheal wants to build a ramp to reach a basketball rim that is 12 feet high and the…

Q: Given ? sin ? + 1 = 0, using Newton-Raphson method with initial guess ?0 = 4, calculate the root of…

A:

Q: 10. Find Yne exact value, Seca4o° -D tan "5e O ° CSce 480 1I. what Quadrant? a 2011 O his- G

A:

Q: Consider the diagram below, and assume that m/B = 61°, AB = 4.15 cm, and AC = 3.85 cm. C 3.85 cm 6 A…

A: Given: In △ABC, we have: m∠B=61∘AB=4.15 cmAC=3.85 cm Let, AB¯=cBC¯=aAC¯=b Thus for △ABC applying law…

Q: Solve the following problems (using solution by sine law/cosine law): 3. A soccer player takes a…

A:

Q: From the information given, find the quadrant in which the terminal point determined byt lies. Input…

A:

Q: Find sin 0. 2 cot 0 = O in quadrant IV 7'

A:

Q: The position at time t>= 0 of a particle moving along a coordinate line is s = 10 cos (t +…

A: Given:

Q: Answer the following questions. a. Write a formula that expresses Laura's horizontal distance to the…

A: We know that, cos(theta) is the horizontal distance and sin(theta) is the vertical distance.

Q: 3) Solve the following for the angle 0 using CAST Rule, where 0 ≤ 0 ≤ 360 a) sine === b) cost = -√3…

A: Given that, a) sin θ = -12 b) cos θ = -32 By using CAST rule, find the angle θ. CAST Rule: If the…

Q: Suppose 0(t) measures the minimum angle between a clock's minute and hour hands in radians. What is…

A: A minute hand completes one revolution in 60 min. This means a minute hand completes 2π in 60 min.…

Q: 3 5' 2 < x <T, find the exact value for each trig half-angle. Given sin x = sin (클) ㅋ Cos

A:

Q: A pitched roof has a slope (rise/run) of 3/5.  What acute angle does the roof make with the…

A: given roof has a slope of 3/5. we know that slope of roof is,

Q: 3) Solve the following for the angle 0 using CAST Rule, where 0 ≤ 0 ≤ 360 a) sine === √√3 b) cose =…

A: a) sinθ=-12 By CAST rule, sinθ is negative in 3rd and 4th quadrant, So here 180≤θ≤360. Since period…

Q: A rain gutter is to be constructed from a metal sheet of width 54 cm by bending up one-third of the…

A: Area of part 1,Area of triangle = 12×b×hb= 18×cosθh= 18×sinθArea of triangle 1 =…

Q: Find the equation of a sine wave in the form y = a sin(bx + c) + d that is obtained by vertically…

A:

Q: A particle moves in simple harmonic motion according to the equation, s = 09A cos(wt) + 09B cos(wt).…

A: Consider the given information.

Q: From the information given, find the quadrant in which the terminal point determined by t lies.…

A: To find the terminal point t lies. a  sint&lt;0  and cost&lt;0b  sint&gt;0  and cost&lt;0c…

Q: Use a calculator to find the following. Round your answer to four places past the decimal point. sin…

A: To determine sin 26.3°