In the diagram below, tangent DA and secant DBC are drawn to circle O from external point D, such that AC BC. If mBC = 152°, determine and state mZD. %3D A °C

Q: Find the period of - xCn) = ucn) - un-7)

A: If any function is periodic the x(n) = x(n+T)

Q: 1. Sketch one cycle of the following trigonometric y = 2 sin(3x − 60°).

A:

Q: tan M = 0.23 Could ÐM be between 0° and 180°?

A: If y = tan x then x = tan-1y

Q: F csc a= sqrt10, find cos2a and tan a/2. Assume a is in quadrant 2, show your work.

A:

Q: 3. Given y = -4 sin (9x +), find the following: a) amplitude = b) period =, c) phase shift = d)…

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Q: When a and b are real, we define elatiblx with the equation ela+ ibix = eax , eibx e"(cos bx + i sin…

A: we know that am+n=am.an similarly, ea+ibx=eax+ibx=eax.eibx now, we know that eiθ=cosθ+isinθ

Q: Graph the following sinusoidal function. y = 6 cos (3x)

A: Given :

Q: 1 10. cos 0 tan 0 +1 2

A: .We will verify the given identity.Below find the solution in image.

Q: Find the following: 8.2 cm 6.3 cm 10.2 cm sin A = cos A = tan A=

A: Consider the given figure

Q: Find csc θ if cot θ = −48/55 and sin θ > 0.

A:

Q: Complete the following equation. tan 20 - sec 0 = %3D tan 20- sec 0 = %3D

A:

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.