If -2x-5y=0 represents the terminal side of standard position θ and x<0, find the exact value of cscθ.

Q: 8.3

A: Here, we have given two sides and one angle. So we can find θ using the Sine rule of the triangle.…

Q: Sin

A: Given, cosθ=817 θ lies in IV quadrant so sine will be negative

Q: Express cos°x as a function of multiple angles.

A: The function of multiple angles is given below,

Q: x²y" + 3ry – 24y = 0, y(1) = -8, y'(1) = –7. y =

A:

Q: V3 7. tan A = 3.

A: Trigonometric ratios

Q: LV = x+8 VN= 8+2x K L N M

A:

Q: In a certain piston engine, the distance x (in centimeters) from the center of the drive shaft to…

A: Given that: In a certain piston engine, the distance x (in centimeters) from the center of the drive…

Q: Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if…

A:

Q: 6. tan A = 0.5

A: We use Trigonometry ratio

Q: - 27. Determine k so that lim (3e-kt — k) = 8118 I T 5

A: We have to find the value of k for which given limit is true.

Q: If the random variable Y has the pdf pictured below: 2 w mat a) Find pdf of X? b) Find CDF of X? c)…

A:

Q: Find the value of x in each case. C |147° F E 4x B A x =

A:

Q: cot 0 = 0.535 e

A: Given that,      cot θ=0.535

Q: Determine the domain and range of y=1/x2-1

A: It is given that y=1x2-1 and we have to find the range and domain of the given function. For Domain…

Q: What is the value of z in the figure shown below? 4.5 D 57° 3.6 3.6 80° 4.5

A:

Q: Plot the point(s) where tan 0 = -√3

A: We know that Tan  =

Q: sec 25°= cos 78° = sin 33°30'= tan 45°45*= tan 23°53'=

A: To find the complementary angle of the given data :-

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.