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Q: From a boat on the river below a dam, the angle of elevation to the top of the dam is 14o 57'  If th...

A: Let B be the position of boat, A be the base of the dam and x be the distance between the boat and b...

Q: Consider the figure. Find AB if BC = 4, BD = 5, and AD = 4.

A: It is given that, BC = 4, BD = 5 and AD = 4. From the given figure, it can be observed that the tria...

Q: For #2 I need help on how to find the domain

A: Definition of Domain: A domain of function is set of all the values for which the given function is ...

Q: what is the phase shift of f(x)=16sin(8x-11)-16?

A: Consider the given function.

Q: The voltage E in an electrical circuit is given by E = 1.3 cos 100 πt, where t is time measured in s...

A: The expression of voltage (E) as a function of time is given below.E = 1.3∙cos(100∙π∙t)

Q: Solving hw 15

A: Known fact:

Q: A submarine traveling at 9 mph is descending at an angle of depression of 5 degrees. How many minute...

A: Given, a submarine traveling at 9 mph is descending at an angle of depression of 5 degrees.

Q: Point P sweeps out central angle 0 as it rotates on a circle of radiusr as given below. Find the ang...

A: We know that,

Q: See attachment

A: Add 1 to both sides to the given equation.

Q: Write the following in terms of sin 0 and cos 0; then simplify if possible. (Leave your answer in te...

A: The trigonometric expression can be simplify in terms of sine  and  consine of theta as follows.

Q: solve the following equation over the indicated interval. Show steps without using a calculator, and...

A: Given function is

Q: write the following in terms of x without trig or inverse trig functions and simplify. In each case,...

A: Given that the expression is

Q: Prove the identity. sec2 (x/2)= 2 sec x + 2/sec x + 2 + cos x

A: The given equation is,

Q: X-2-9x-1+14=0

A: Let z=x^-1We replace x^-2 by z^2 and x^-1 by z.

Q: Question Help The length of the base of an isosceles triangle is 36.6 inches. Each base angle is 36....

A: First draw a rough sketch of the situation.

Q: The question asks for the terminal point on the unit circle given:   t=5pi/2. I put (0,1), but I wou...

A: Let t be any real number and P(x,y) the terminal point determined by it. Then the terminal points ar...

Q: Solve the right triangle. P 53.5° P 127 m (Round to one decimal place as needed.) m (Round to the ne...

A: Sum of the acute angles in right triangle = 90 degree.One angle is N= 53.5 degreeSo, M=90 degree - (...

Q: practice question, I attached a photo

A: The first Pythagorean identity is sin2 x + cos2 x = 1.

Q: Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round...

A: Given, 

Q: see attached

A: The given trigonometric expression is

Q: How is the graph of y =log(x) transform to produce the graph of y=log(2x)+3

A: Given graph of y = log(x), transform it to get the graph for y = log(2x) + 3.Let us first discuss  t...

Q: 22 29 25 26 27 29 28 Which equation could be used to calculate the sum of the geometric series? 4 31...

A: The formula for the nth partial sum of a geometric sequence is,

Q: I am struggling to complete the first blank.   Thanks much.

A: Here,

Q: Find the measure of the indicated angles. Complimentary angles with measures 2x-10 and 5x-31

A: To determine the given angles which are complementary

Q: A plane flies 1.2 hours at 120 mph on a bearing of 10°. It then turns and flies 6.8 hours at the sam...

A: The situation mentioned in the problem can be shown in the below figure

Q: two gears are adjust so that the smaller gear drives the larger one, if the smaller gear (r=3.5) rot...

A: Let r1 and r2 be the radius of the smaller and larger gears, respectively.Given that, r1 = 3.5 and, ...

Q: sketch the graph of f. find the intervals on which f is increasing, constant, or decreasing. f(x)=l ...

A: Given,

Q: verie The ldentit 1-Sine Cose ८० ५० 2sece 1-21ne

A: Firstly, wesimplify left hand side of equation by adding two fractions.

Q: Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the tempera...

A: At mid night t=0,Let the function is of form D= a*sin(bt)+c

Q: The question asks for the exact value of the trigonometric function at the given real number:   sec(...

A: Given,

Q: y=1/2tan3x draw the graph, plot two consecutive asymptotes. Between those asymptotes, first plot a p...

A:

Q: A pendulum swinging through a central angle of 67° completes an arc of length 7.2 cm. What is the le...

A: Let the length of the pendulum is = r cm 67 degree= 67pi/180 radian

Q: A 15-ft ladder leans against a building so that the angle between the ground and the ladder is 74 de...

A: Let AB represent the building and AC represent the ladder. So the triangle formed by the ladder, bui...

Q: Solve for 2 answers hw 18

A: Use a calculator to find the x value as follows.

Q: see attachment

A: To prove that

Q: Prove the following are identities using the definitions of the inverse trig functions and show all ...

A: According to the given information it is needed to prove that:

Q: see attached

A: Let the plane is at the point P . Let PC be the length of altitude drawn from P to AB.The angles of ...

Q: see attachment

A: Given:

Q: see attached

A: We know that,

Q: 0 2.1.17 Question Help Suppose ABC is a right triangle with sides a, b, and c and right angle at C. ...

A: The given figure is,

Q: Construct an appropriate triangle to complete the table. (0 ≤ θ ≤ 90°, 0 ≤ θ ≤ π/2)      Functio...

A: Calculation:Compute the degree as follows.(π/4) = 45°.

Q: II 2.4.15 Solve the right triangle. p n 53.50 P 127 m M= (Round to one decimal place as needed.) m (...

A: sinx=p/h and cos x=b/h.

Q: I am not sure how to get to this solution. Please help, thank you.

A: We write them under one radical. Then recue 40/56 by 8.

Q: I don't know how to do 5 or 6

A: Given functions are,

Q: How do  I find sin y =-sqrt 2/2? I know that you use the given to find the angle but a 45-45-90 has ...

A: The given trigonometric equation is

Q: practice question, I attached a picture

A: Calculation:a)Simplify (b/a) + (1/b) as follows.

Q: If θ= −11π/6, then sin(θ)=cos(θ)=

A:

Q: see attachment

A: Given equation is

Q: A pendulum in a grandfather clock is 6 feet long and swings back and forth along a 8-inch arc. Appro...

A: Let us assume a circle with a radius equal to the pendulum, which is 6 feet long.Thus, the circumfer...

Q: A point on the terminal side of an angle θ in standard position is given. (see image) Find the exact...

A: Find the value of r as follows.

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.