1.33 Two planes, starting from airport X, fly for 2 hr, one at 800 km/hr and the other at 1050 km/hr. The slower plane flies in a direction of 60° east of north and the faster plane flies in a direction of 10° south of east, with reference to X. How far apart are the planes at the end of the 2 hr period?

Q: Calculate the length of the side LN given the following data for 37°. Sin 37° 0.602 Cos 37° 0.790…

A:

Q: B a A Note: Triangle may not be drawn to scale. Suppose a 8 and c 11. %3D Round answers to one…

A: Explanation of the solution is given below...

Q: 1 30) Find tan(s + t) given that cos s=, with s in quadrant I, and sint=-- with t in 2' quadrant IV.

A: Given,         coss=13, with s in quadrant I, and sint=-12, with t in quadrant IV.

Q: 12 3. (a) Use a middlesum with n = 4 to estimate cos(Vx + 4) dx. Make sure that your calculator is…

A: ∫-412cosx+4dx

Q: 4. Round the measure of angle A to the nearest degree: a. sin A=0.4512 а. b. cos A=0.3302 b. с. tan…

A: Sin A = 0.4512 A = sin-1(0.4512) A = 26.82 °

Q: Which of the following is(are) true? (Choose all applicable answers.) O cscha |3D e te- e te- tanh x…

A: As we know that: The trigonometry identities. tanx=sinxcosxcscx=1sinxsecx=1cosxcotx=cosxsinx And…

Q: 13) The positions of two particles on the s-axis are s1 = sin t and s2 = sin t+ with sj and s2 in…

A: Solution

Q: - and cosß : 12 %3D 13 3n where n< a < and <B< 2n. 6. Given sina = - Draw the triangles, length of…

A:

Q: 8 Find cos (s-t) given that cos%= with s in quadrant II, and sin t= 13' with t in quadrant II. 17'…

A: In the second quadrant, sin is positive and cos is negative.

Q: 25. Rachel and Naomi are given cecle Cand point P below and are asked to construct a line tangent to…

A: This question can be solved using the concept of congruency of triangles.

Q: 1. In right triangle ABC shown, AC = 12, BC = 16, and AB = 20. Which equation is not correct? 12 a.…

A:

Q: 14 as In the diagram below, Se and PR intersect at T, Pe is drawn, and PS|| QR

A: In the given figure, ∠PTS = ∠RTQ (vertically opposite angles)

Q: **47 The fractional half-width Aw, of a resonance curve, such as the ones in Fig. 31-13, is the…

A:

Q: The positions of two particles on the s-axis ares1 = cos t and s2 = cos (t + π&gt;4). What is the…

A: Given that the position of two particles on the s-axis are s1=cost   and     s2=cost+π4

Q: Part a For which vale ut is the following always bue sint+ ) Select the comet antwe

A:

Q: 3. In triangle NPQ, ZN = 88°,° p = 11.23 andQ = 59°. To find anether side length of the given…

A: Here I am attaching image so that you understand each and every step.

Q: 144 Exercise 5.8 1. Complete this exercise without a calculator. P (3; 4) is a point in the…

A: Given

Q: The graphs of r = a sin nº and r = a cos no, a + 0, are called rose curves. If n is even, the rose…

A: Considering the polar equation of type r=a sin (nθ) and r=a cos (nθwith a≠0.The graph of such…

Q: Recall that tan(0) represents the slope of the terminal ray of an angle whose radian measure is 0…

A:

Q: 1-7. Show that the given equation is identity: csc 0 sece cot e

A:

Q: snip

A: Given points are P=-13,223⇒it lies in second quadrant

Q: 8. Alice is riding a Ferris wheel, where is time in seconds. Let h(t) = 11 cos(121) represent the…

A:

Q: 4. Find the value of cos (A+B) for A terminating in quadrant III and B terminating in quadrant IV…

A:

Q: 1. Find the quadrant in which e lies: (a) csc 0 0 (b) sec 0> 0 and sin 6 <0

A: a). Cosecϴ &lt;0 and tanϴ&gt;0 In first quadrant all trigonometry function are positive  Only third…

Q: 1. If the radius of a circle increases at the rate of 0.01 inch/sec, find the rate of change of the…

A: Let radius of the circle is r. From question, drdt=0.01 inc/sec We have to find the rate of change…

Q: 10 ESE( admun insbeupoo a - Given that tan 0 = - with 0 in quadrant 4. Find the exact value of cos…

A:

Q: 18 of 19 50 where T<0< 4r as shown in the diagram A rubber ball is being spun in a outward spiral in…

A: Let's find.

Q: 1.5 Find the general solution: cos 20 – cos 0 +1 = 0 where 0 is an angle measured in degrees? .6…

A: Question 1.5 - cos2θ-cosθ+1 = 02cos2θ-1-cosθ+1 = 0…

Q: #1 How many revolutions are completed in 19π/2? A. 1   B. 2   C. 3   D. 4 #2 What is the reference…

A:

Q: IN QUESTION 18, FIND THE EXACT VALUE OF s IN THE GIVEN INTERVAL THAT HAS THE GIVEN CIRCULAR FUNCTION…

A: topic - inverse trigonometric functions

Q: 36-40. Find sin (s + t), given that sin s = and sin t = -- ,s in quadrant Il and t in quadrant IV.

A: Given sins=23sint=-13

Q: What is the fundamental period of this signal x(t)=cos(π/4t) ? a. 3 b. 4 c. 8 d. 2

A: Optimal solution:

Q: 7 Use the right triangle and the table to find the measure of angle x Sine Cosine Tangent 8. 30 2.…

A:

Q: 1 8. Given that cos 0 and <0 < 2n, find the other circular functions. %3D

A:

Q: Assume that the units of time are seconds, and the units of displacement are centimeters. The first…

A: A period is the amount of time taken to complete vibration cycle to pass over a specific place. The…

Q: 2) 1) a 12 Tan-14) =17.1 E17.D 13 H Cos e= 12 13 COS-I =(22.6 4) B 3) 10 6. 11.9 9. 6) 5) 7.7 14 C…

A: 3. Given triangle is: AC=6 AB=9 To find the value of θ

Q: 4. Find the exact value of the following (you must show your work!): cot ( tan

A: We will use the formula of inverse trigonometric functions as  tan-1(x)=cot-1(1/x).

Q: A right triangle has a hypotenuse of length 1 and an angle a. Establish a relation between cos a and…

A:

Q: In a certain city, the number of hours of sunlight on the summer solstice is 15.544 and the number…

A: In the question, we need to find sinusoidal function.

Q: Two circles pass through each each other's centre. If an arc of length l of the first circle…

A: Given Two circles C1 and C2 passes through each other's Centre. An arc of length 'l' of the C1…

Q: 1. Find the exact value of each of the following by using the Unit Circle. (a) sin (b) cos 3 5π 4…

A:

Q: 1. If the angle 0 is in standard position and P(x, y) is a point on the terminal side of 0, and r is…

A: Draw the diagram according to the question.

Q: A simple pendulum suspended from a ceiling measures 0.5 m. in length and when at rest the bob is 20…

A: topic - trigonometric ratios

Q: For the simple harmonic motion described by the trigonometric function, find the least positive…

A:

Q: 1 Find cos(s + t) given that cos s=- with s in quadrant I, and sin t= - – with tin quadrant IV.

A: 1.Cosine Sum Formula:- Cos(x+y)= Cosx*Cosy-Sinx*Siny 2.Sine function is positive in 4th quadrant.…

Q: Q: How many intersection points between the following curves 1+ cos(0) and 1- cos(0)?

A:

Q: 1.Find the exact value of the following Arc cos (-1) * a. 160ᴼ b. 170ᴼ c. 180ᴼ d.190ᴼ

A: Given: The expression arccos-1, To find: The exact value of the given expression.

Q: 15 5 and cos ß = 13 where 270° < a <360° and 270° < ß < 360°. 17 Given sin a = Find cot(a + B) while…

A: The given values are sin α=-513 and cos β=1517. It is given that 270°&lt;α&lt;360°  and…

Q: QUESTION 4 4.1 If V3 tan 0 -1 = 0 and 90° <o< 360° 4.1.1 Sketch the above information on a Cartesian…

A:

Q: Let a and b denote two sides of a triangle and let 0 denote the included angle. Suppose that a, b,…

A: Solution: The correct answer is 0.866 rad/sec

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.