Find sin θ if cos θ =  4 5 and θ terminates in QI.

Q: Suppose that sin(θ) = 24, where 0 < θ < π/2. Sketch a possible right triangle containing θ, and use…

A: We will find the answers as following.

Q: Suppose θ is an angle such that cos θ =3/4 Evaluate cos(2θ).

A:

Q: Find the points of intersection of the graphs of the equations r = 1 + sin θ,       r = 3 sin θ

A: r = 1 + sin θ,       r = 3 sin θ To find: The points of intersection of the graphs of the equations.

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: Find two exact values of θ in degrees (0° ≤ θ &lt; 360°) for which cos θ = −√32.Do not use a…

A: Given information: cosθ=-32, 0≤θ≤360° Calculation: The cosine function is negative in second and…

Q: Assume that Sin θ= 4/5 where π/2<θ<π  find tanθ

A:

Q: Find the remaining trigonometric functions of theta if sin theta = 1/2 and terminates it

A: Given: sinθ=12 we know that sinθ is positive in first and second quadrant if, θ is in first quadrant…

Q: if cosθ=-(1/9) and θ is not in QII find tanθ

A: We will find the value of  tanθ. Here we will use the formula  . That is         Sec2θ - tan2θ =1

Q: | sin(4z) cos(7z) dz.

A: To find:∫sin4zcos7zdz

Q: Determine the exact value of csc theta, sec theta and tan theta if the terminal side of theta lies…

A: Given: Terminal side of θ  lies along the line: y=52x

Q: If z = 1+2j, Determine sin z

A:

Q: If z = 4 - 3i in cartesian coordinates then z = 5ei® where 0(in radians) is: a. tan-'(4/3) + pi b.…

A:

Q: Find the values in

A: Given:

Q: Let be the angle between u and v. Find cos(0). cos(0) = u = [6, 5, -1], v = [1,-1, 1] Determine…

A:

Q: 2 * 10 → cOS =1- →0 = 160 18

A: Given: cosθ2 = 1 -2·1018 To find: The value of angle θ.

Q: (5,-15) sin = CSC@= CoS O= sec@: tan 0= coto:

A:

Q: Convert r=1/1+sinθ to Cartisian

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

Q: Find cot θ if sec θ=(√7)/2 and sinθ>0

A:

Q: find θ, if 0 < θ < 360 and cosθ = sqrt3/2 and θ in QIV

A:

Q: If cos u = - 2/3and u terminates in QIII, find sin u.

A: Given: cosu=-23, u terminates in 3rd quadrant We know that if u is in 3rd quadrant then sinu and…

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.