A lighthouse at sea level is 34 miles from a boat. It is known that the top of the lighthouse is 42.5 miles from the boat and that x =r cos 0, where x is the horizontal distance, r is the distance of the top of the lighthouse from the boat, and 0 is the angle of depression from the top of the lighthouse. Find 0.

Q: sin(A) = 48 csc(A) = cos(A) = + sec(A) = tan(A) = cot(A) = sin(B) = csc(B) = cos(B) = sec(B) = %3D…

A: As per the company rule, we are supposed to solve the first three subparts of a multi parts…

Q: Find sin t and cost for the given value of t. t = 480° sin t = cos t =

A:

Q: 5. 1 Let sinx and x in an angle in quadrant III . а. 2+0 Find sin(2x),cos(2x) and tan(2x). b.…

A: As all the subparts are different and we are entitled to solve only one question at a time. So,…

Q: The trunk of a tree makes a 60° angle with the ground. A ladder leans against the trunk on the…

A: The law of cosine is given by the expression . This is used to solve the triangle when some of the…

Q: Let 0 be an angle in standard position with cos(0) = - and tan(0)% = 3 a. What quadrant is the…

A: Let be an angle in standard position with

Q: You are standing 20 feet from the base of a monument. The angle formed by the ground and your line…

A:

Q: Define f: R² → R by sin(ry) f(x,y) := TY if ry # 0, f(t,0) = 1 = f(0, t) Vt e R. Prove that f is…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: a. The input of the tangent function is ? v and the output is of the tangent function is ? v b.…

A: slope = m =tanθ    and function fθ=m =tanθwhere θ is input and m is out put

Q: Compute čOS (2· COS Round to the nearest hundredth. Hint: cos(1/3) is the angle in quadrant 1 for…

A: cos2arccos13 To find its value

Q: satellite is orbiting the earth at 20,000 mph. If the radius of the orbit is 4,300 miles, what is…

A:

Q: Find the value of csc ? given that cos ? = 0.2632 and ? is an acute angle. Round to four decimal…

A:

Q: Find the unknown side length. Then find sin x and cos x.

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.