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: Sketch the graph. y = Cos"x Cot a %3D in OsaL 360

A:

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

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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: 1 %3D What is the period of the function y 2 sin ( - TE)?

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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: If x = 8 sec 0, express tan e in terms of a. %3D

A: Given: x=8secθ Express: tanθ in terms of x

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: ∞ 11 Evaluate f te-2+ sintat.

A: The objective is to evaluate the integral ∫0∞te-2tsintdt. Use the fact that L{f(t)}=∫0∞e-stf(t)dt…

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.

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

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Q: Estimate the measure of ZMNO to the nearest 10°.

A: From visual consideration∠MNO is an obtuse angle i.e. it lies between 90° and 180°.It is also less…

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.