State the formula for the area of a triangle given two angles and one side.

Q: If theta = 40 degree is a central angle in a circle of radius 9 feet, find the arc length cut off by...

A: The angle can be represented as below:  

Q: Prove that the following identity is true. cos4A-sin4A=1-2sin2A   Show your work.

A:

Q: Solve the following equation in the interval [0, 2 ππ].Note: Give the answer as a multiple of ππ. Do...

A: Consider the given equation and the interval. Given equation : 2cos2t−cost−1=0Given interval = 0,2π

Q: On the unit circle, the _______ measure of a central angle and the length of _______it cuts off are ...

A: Fill in the blanks "On the unit circle, the _______ measure of a central angle and the length of ___...

Q: Simplify cot theta / cosec theta     tan theta

A: To simplify cotθcosecθ.

Q: Vector W is in standard position and makes an angle of 270 degree  with the positive x-axis.Its magn...

A:

Q: ??

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Q: State the form of the law of cosines used to solve a triangle for which allthree sides are given (SS...

A: Given- All the three sides of the triangle are given SSS. To state- the form of the cosine law. Conc...

Q: 7-18 are all in the same question, i tried but im getting them wrong and can't figure out why, pleas...

A: Since you have asked a question with multiple question in a single request, we would be answering on...

Q: Use a calculator to find each of the following. Round all answers to four places past thedecimal poi...

A: The given expression is sec48.2°

Q: Plane Trigonometry Activity # 1 I. Convert to the indicated angular unit and complete the table show...

A:

Q: Use a calculator to find each of the following. Round all answers to four places past thedecimal poi...

A: Given tan 87.32  0

Q: Use half-angle formulas to find exact values for each of the following.     sin 75    0

A: Value of sin 75° using half angle formula.

Q: find the remaining trigonometric functions of theta based on thegiven information.  sin theta = 12/1...

A: Consider the following information: sinθ=1213 Use the following formula: sin2θ+cos2θ=112132+cos2θ=11...

Q: Sketch one complete cycle of each of the following by first graphing the appropriate sine orcosine c...

A: The curve, y=cosecx+π4.

Q: Find the following products.   (-3 + 3i)(-2 +9i)

A: To determine: -3+3i-2+9i  

Q: How do you find sin 58.75  0 on your calculator?

A: Here, the objective is to find the value of sin58.75° using calculator.  

Q: At its highest point, the second hand on a clock is 1.9 m above the ground. At its lowest point, the...

A: we have been given that the highest point for the second hand on the clock 1.9m and the lowest point...

Q: An arrow is shot into the air so that its horizontal velocity is 25 feet per second and its vertical...

A: Given : horizontal velocity is 25 feet per second and vertical velocity is 15 feet per second. we ha...

Q: In a public park, a triangular region of grass is bounded by walkways. Sprinkler heads are placed at...

A:

Q: Did I do question 14 right?

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Q: Make sure to answer each part of the question. Use the given information to evaluate the expression.

A: Given tan-θ=49 & cosθ>0

Q: Make sure to answer each part of the question. Use the given information to evaluate the expression.

A: sec(-θ)=sec θTherefore, sec θ=-75ANd sin θ>0 Since sec is negative and sine is positive, so theta...

Q: Do all the empty blanks ... please... God bless you

A: the given expression is: 3+4i1-3i (a) we have to write the trigonometric forms of the complex number...

Q: For each equation, find all degree solutions in the interval 0° <= u < 360°. If rounding isnec...

A: The equation is 18 sec2 u-17 tan u sec u-12=0. Rewrite each terms in sin(u) or cosu. 181cosu2-17·sin...

Q: An observer on the ground sites in plane at an angle of elevation of 41.2 degree. At the same time, ...

A: Given Data: The angle of elevation of the plane for the first observer is: 41.2° The angle of eleva...

Q: Use the given information and a calculator to find theta to the nearest tenth of a degree if0 degree...

A: Given: cscθ=2.4957, 0°≤θ≤360°

Q: Find the period and sketch the graph of a tangent function.

A: Given function is,  y = tan x It is called as tangent function. 

Q: Find all degree solutions.           tan23u = 3

A: Given tan23u=3

Q: Determine whether the value of each trigonometric function is greater when theta = p/6or theta = p/4...

A: Given: Two values of θ, θ=π6 or θ=π4 When θ=π6 then, cosecθ=cosecπ6=2 secθ=secπ6=23=1.15 cotθ=cotπ6=...

Q: Let cos x = 3/4 with x   tan  2 x

A: The problem is not clear. I'm considering x lies in the first quadrant. Given: cos x=34 That implies...

Q: For each ordered pair, give three other ordered pairs with u between 2360° and 360° thatname the sam...

A: Given, 5,-135°

Q: Use your graphing calculator to graph each pair of functions for 0 <= x <= 4 pi  (Make sureyou...

A: The function is y=sin Bx    , B=1,2. When B=1, the function is y=sin x. When B=2, the function is y=...

Q: Simplify the given expression  sin(3x) cos(8x) - sin(8x) cos(3x)

A:

Q: A man invests $3000 in an account that pays 8.5% interest per year, compounded quarterly. (a) Find t...

A: Consider the formula for compound interest: A=P1+rnnt Where, A=AmountP=Principal amountr=Rate of int...

Q: 13) In triangle ABC, angle C is a right angle. Find the measure of side a if the measure of angle A ...

A: Sine Rule = Sin A/a = Sin B/b = Sin C/c

Q: For each equation, identify the period, horizontal shift, and phase. Do not sketch the graph.       ...

A: The  function is y=sin2x+π. The function is of the form y=asin(bx+c)+d where a=1,b=2,c=π,d=0. Find t...

Q: Find tan theta  if sin theta = 1/3

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.