A right triangle has side lengths 3, 4, and 5 as shown below. Use these lengths to find sinL, tanL, and cos L. sin L = 4 tan L = cosL = 3. 1.

Q: Find a formula for 3cos(theta) that only involves sin(theta) or cos (theta)

A:

Q: 3 Prove the identity: sin30 = sin® –sin30 using De Moivre's theorem.

A: To prove the given identity ,we have to use De Moivre's identity.

Q: and the sink is 1.46 meters, and the distance between the client’s refrigerator and sink is 2.75…

A: Introduction: The law of sines is given by, asinA=bsinB=csinC The law of cosines is given by,…

Q: The point (-5,3) lies on the terminal arm. Determine the exact value of cos 0. Show all work.

A:

Q: Euler’s identity can be used to derive many trigonometric identities. Derive the sum identities for…

A:

Q: JOTICE sinx= IC X = 2. -Cos X OTICE

A: sin(x)= cos(x) when x= π/4

Q: Is cos (A+b)=cos A + cos(b)? Explain

A:

Q: Use right triangles to explain why cos-1 x + sin-1 x = p>2.

A: given: a right angled triangle. the given expression is: sin-1(x)+cos-1(x)=π2

Q: If cos theta = a then sin theta = 1/a

A: Given information: If cosθ=a then sinθ=1a

Q: 2 is a triangle in which Tan A = 3 and Sin B = V5 ut using Calculator find Cos (A+B)

A:

Q: Suppose the point (4,6) sits on a ray from the origin making an angle of A in standard position, and…

A: topic - trigonometric ratios

Q: If cos t =-,what is cos 2t ? 4 |

A:

Q: Assume a is positive, find cos(tan-) (show your work)

A: Given, x is positive To find cos(tan-1x)

Q: Show that cosine is an even function and sine is odd.

A: We have to prove that f(x)=cos(x)  is an even function and g(x)=sin(x) is even function .

Q: Show sin 3A = 3 sin A cos²A - sin A.

A: Explanation: Given that: sin3A=3sinAcos2A-sinA Concept: sin3A=3sinA-4sin3A sin2A+cos2A=1

Q: If cosA + cosB = sinAcosB, then cos(A+B)=

A: CosA + CosB = SinA*CosB

Q: Match each graph with its equation Ic r= sin(2 0) r= cos(6 0) r= cos(2 0) r= cos(3 0) r= cos(7 0)

A: The first graph represent the image of cos(6 theta) The second graph represent the image of cos (3…

Q: show steps to simplify cos(2iln(i))

A: We have,    cos ( 2 i ln(i) )

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.