EXERCISE 3. Calculate a x b when la = between 1, b| = 3 and the angle a and b is 0 = 30° %3D

Q: ABC is a right angled triangle with AB = 4 units and BC = 3 units Prove that for the angle marked x°…

A:

Q: - tan 0 I. 0 =150° I. Ө—210° III. 0 = 30° IV.0=330° a Land IV b Il and IV C Il and III d ll and

A: see next step

Q: If x = e" tan v, y = e" sec v, then the value of y%3D X +y X- +y is

A:

Q: Find the speed at the given value of t. r(t) = (sin(3t), cos(6t), cos(7t)), t = %3D (플) = 프2

A: Given:

Q: show that r = cos 2θ is symmetrical with respect to the horizontal axis.

A: show that r = cos 2θ is symmetrical with respect to the horizontal axis.

Q: If w=f(a,b,c)=cos(ab)sin(b)+c, what is at ( 2'3 5,6 )?

A: Given function is  w=fa,b,c=cos(ab)sin(b)+c

Q: If y = tan u, u = v - and v = In x, what is the value of y at x = e? dx sec? e 1 O Option 4 O Option…

A:

Q: Plot point L using a negative radius and a positive angle (in radians) in standard position. 10…

A:

Q: Find cos(0) where is the angle between u = cos(8) 1/9 2 (3) and y () 4 v Your last answer was…

A:

Q: If y=sin(x), z=cos(x), v=sawtooth(x), e=rand(4), where 0SX< 4n Could you plot y, z, v, e as shown…

A: according to our guidelines we can answer only three subparts, or question and rest can be reposted.…

Q: Suppose r(t) = (et cos t)i + (et sin t)j. Show that the angle between r and a never changes. What is…

A: Given information:

Q: Given that 3x - tan y = 4, what is dy in terms of y? A 3sin y

A: I have provided solution in step2

Q: If e is an angle in the third quadrant in standard position, and tan e = 0.25, determine sin 0. %3D…

A: We have to find out

Q: b) Describe, the motion of a particle with position (x,y) as t varies in' tthe given interval X= 5+…

A:

Q: Let V = -î + 3j + 4k and W = 2î – 45 + k, then find cos 0, where 0 is the angle %3D between V+ W and…

A: Given: V⇀=-i^+3j^+4k^W⇀=2i^-4j^+k^

Q: has at least one solu Prove that the equation r+ sin(x) = VI +3 %3D (0, т).

A: Here we have to prove that,  x+sinx=1x+3⇒f(x)=1x+3-x-sinx has at least one solution in the interval…

Q: Find the length of the indicated portion of the trajectory. rt) = (e 'cos t) i + (e 'sin t) j +3e t…

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

Q: are cot y dy y³

A:

Q: If u = tan- the value of x2 +y? +xy du du at x = 1 and y = 3 is

A:

Q: A) S sin edo b)S sec edo )Side Ssec?eddo E)S cos ede

A: We have to find the integral

Q: 3. What we want to do next is write (x + jy)as Reie where R= J(x? + y? ) and tan-(e) = (2)

A:

Q: If y = (sin x)e, what is dy ? dx

A:

Q: Let ZD be an acute angle such that cos D = 0.33. Use a calculator to approximate the m m/D

A:

Q: For (a), how did cot y become tan y?

A: a). given  dydx=cotx cotydy= (cotx coty)dx1cotydy=cotx dx integrating on both sides we get…

Q: If f CSc e>0 and Sec 0 <0 then is in quadrant: A) IV B)I II

A:

Q: 25x Using the compound angle formulae equals sin 12 a) sin 3 O b) sin 3 c) sin 3 4 O d) sin +-

A: Sin(25π/12) = Sin(2π + π/12) = Sin(π/12)

Q: 1. Andrew is trying to land a plane, the plane descends at a steady rate. When it is 22 ground miles…

A: The height of the plane is AC= 2.2 miles. The distance of the plane from the airport is AB= 22…

Q: If Wallis is used to integrate sin rcos zda, what must be the value of a? A. 00 B.1 C.O D.

A: In wallis integration, to find the value of alpha

Q: If  sin⁡x=e^y,  0<x<π, what is dydx in terms of  x?

A: Given sin x = ey   ..................(1) Differentiating both sides with respect to x  d(sinx) / dx…

Q: Evaluate S eas cos?(y s) ds. V2

A:

Q: Ut=a?Uxx , 00 U(0,t)=0, U(1,t)+aU(1,t)=1 , U(x,0)=sin(pi x)

A:

Q: The value of 'b' for which u(x, y) = ebx cos 5y is harmonic

A:

Q: In AWXY, the measure of ZY=90°, XW = 53, YX = 28, and WY = 45. What is the %3D value of the cosine…

A: I am going to solve the given problem by using some simple geometry to get the required result.

Q: tind and classify the sie gular Poir ts ofthe DE as heg ulal ariptregular.? (x+1)(x-2)

A:

Q: sin B  =  ​       cos A  =  ​       (b)    sin A, cos B sin A

A:

Q: Let a = ci +jand b = 12i + 9j. Find cso that the angle between a and bis 6' Round your answers to…

A: Solve by dot product

Q: Find the acute angle between the lines. Round your answer to the nearest degree. 6x - y = 3, Sx + y=…

A:

Q: : When the axes are retated through an angle a, Find the transformed equation of x cos a + y sin a…

A: When the axes are rotated through an angle a then we have to  find the transformed equation for the…

Q: 1. If ß be the angle between the lines of regression, show that tan B = (1 -) 0,0/r (o, + o,).…

A:

Q: Drag the label for the length of the sides of the triangle shown that would satisfy the following…

A: Given triangle and cos(B) = 941 ,    tan(C) = 940

Q: Given, a(x,y,2) = 23x3 tan (y) + x*29 %3D Find the expression for Izyz and Caleulate it at the point…

A:

Q: 2 If cos t : and t is in the 3rd quadrant, then cot t = 8 %3D V60 2 V60 8 2 V60 8 V60 O V50

A: Given:- cos(t) = -2/8  To find:- cot(t) in iii quadrant

Q: If sint = - - and t is in the 3rd quadrant, then tan t %3D V45 45 O V45 V45 2 V53 O O O

A:

Q: If y = tan u, u = v - and v = In x, what is the value of at x = e? dx sec?e 1 O Option 4 O Option 3…

A:

Q: If v x w = 67 - 7j + 9k, and v.w = 7, find tan 0 where 0 is the angle between v and w. tan 0 =

A:

Q: For the diagram below with a bearing from 1 to 2 of N21°E and a bearing from 2 to 3 of S7*E,…

A: We are given a figure and some information about the angles. First of all, we draw a diagram…

Q: If y=sin(x), z-cos(x), v=sawtooth(x), e=rand(4), where 0<X < 4N Could you plot y, z, v, e as shown…

A: The graphs for the function can be plotted by hand or using an online plotting tool. The command for…

Q: Evalnete Sin z da - Cos x dy + sin y dz. C is rectangle. o< e <Tt,0<y<], Final answer: 2 2 = 3

A:

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.