# Trigonometry

trig
if cot(x-10)=tan(4x) what does x equal?

trig
Verify the trigonometric identity. Please show all steps. tanx-cotx/tanx+cotx=sin^2x-cos^2x

Trig
(cos^2t+4cos^2+4)/(cost+2)=(2sect+1)/sec​t

Trig
Prove (cos^2t+4cos^2+4)/(cost+2)=2sect+1)/sect​

Trig

Trig
prove (cscx-secx/cscx+secx)=(cotx-1/cotx+1)

Trig
prove(sinx/cosx+1)+(cosx-1/sinx)=0

trig
y=25sin(120t-4x) what is the wave length what is the speed

trig and geometry
bernhardt and julia are observing an eagles nest in a tree. Julia is 75m from the tree, and sees it at an angle of elevation of 42 degrees A)How high up the tree is the nest B)Bernhardt is standing 30m behind julia. At what angle of elevation does he see the nest?

trig
Which expression is equivalent to cos(4x) + cos(2x)?

trig
bernhardt and julia are observing an eagles nest in a tree. Julia is 75m from the tree, and sees it at an angle of elevation of 42 degrees A)How high up the tree is the nest B)Bernhardt is standing 30m behind julia. At what angle of elevation does he see the nest?

Trig FInd Translation Rule and Coordinates Thanks!
The vertices of a rectangle are R(–5, –5), S(–1, –5), T(–1, 1), and U(–5, 1). After translation, R' is the point (–11, –11). Find the translation rule and coordinates of U'. (x, y)--> (x – 6, y + 6); (–11, 7) (x, y)--> (x – 6, y – 6); (–11, –5...

Trig
A pilot is flying over a straight highway. He determines the angles of depression to two mileposts, 3 mi apart, to be angle x = 31° and angle y = 49°, as shown in the figure. (Round your answers to two decimal places.) Find the distance of the plane from point A. Find the ...

trig
Find the value of theta (in radians) corresponding to the point (6,-8)

Trig
When two bubbles cling together in midair their common surface is part of a sphere whose center D lies on the line passing through the centers of the bubble. Also, angles ACB and ACD are 60 degrees. Show that the radius r of the common face is given by r=ab/a-b.

trig
8cos6xsin6x

trig
Expan each of the following using the compound-angle formulae:sin(x + 20degree)

Trig
Use a calculator to find θ to the nearest tenth of a degree, if 0° < θ < 360° and csc(θ)=1.4307 with θ in QII θ=?

trig
in this right trianlge ABC, m<c=90, m<a=63, and AB=10. if BC is represented by a, then which equation can be used to find a?

trig
solve for x log4 64+ log2 2 ________________ =x log3 81

math/cal/trig solve for t
solve for t: 0=4sin(2t)cos(2t)-sin(2t)

trig
Tan(cos inverse 5x)

trig
Choose the percent increase or decrease for the before and after measurements: 12 (before) and 12 (after) a) not given b) increase of 30% c) decrease of 25% d) increase of 25%

trig
Name three values of theta that would result in y equal to cot times theta being undefined.

tRiG/ AlGeBrA
1) Use double-angle identities to write the following expression, using trigonometric functions of x instead of 4x. cos 4x 2) Use half-angle identities to write the following expression, using trigonometric functions of x instead of x/4. sin x/4

Math/Trig
Period: Asymptotes: Range: a) y= 2 sec (x) + 1 b) y= -2 csc (x - pi/2) c) y= 1 + tan (x + pi/4) d) y= 1/2 + csc (x - pi) + 1 e) y= cot (3x + pi) + 2 Any tips on drawing the graph?

trig
sin [sin -1 (7/25) - cos -1 (-8/17)]

trig
Let P be the point on the unit circle U that corresponds to t. Find the coordinates of P and the exact values of the trigonometric functions of t whenever possible. 2pi 3pi/4 5pi/6 Three questions. I think those are supposed to be t.

geometry
In parallelogram TRIG, m∠R = 2x + 19 and m∠G = 4x - 17. What is m∠T

trig
Solve for x if sin2x=cos(x+60 and x€ [-90,180].show all work details

trig
If csc theta = 2, then what is theta approximated to 4 decimal points? RADIANS

trig
1.Ifg(x)=cos4x,find g'(pie/24). 2.Differentiate y=csc^2 pie*x

college Calculus Help!
Find the derivative of the function. 1. F(x)= (1+2x+x^3)^1/4 2. f(t)= (1+tant)^1/3 ---> i hate trig. 3. y=4sec5x 4. y=xsin√x

college Calculus Help!
Find the derivative of the function. 1. F(x)= (1+2x+x^3)^1/4 2. f(t)= (1+tant)^1/3 ---> i hate trig. 3. y=4sec5x 4. y=xsin√x

Precal
Write down 3 other possible trig forms for - 1 + isqrt2. How do you solve this?

TRIG/ALGEBRA
1) Find the exact value. Use a sum or difference identity. tan (-15 degrees) 2) Rewrite the following expression as a trigonometric function of a single angle measure. cos 3x cos 4x - sin 3x sine 4x

Pre- Calculus
Evaluate the trig function tan33degress

trig
does sec(x)tan(x)*tan(x)=[sec(x)(tan^2)x]

trig
sin(x) = 8/17 and 90 degrees < x < 180 degrees then find cos2(x)

Trig (Last URGENT)
sin2x+cosx=0 , [-180,180) = 2sinxcosx+cosx=0 = cosx(2sinx+1)=0 cosx=0 x1=cos^-1(0) x1=90 x2=360-90 x2=270 270 doesn't fit in [-180,180) what do I do? Or maybe I did something wrong. sinx=1/2 x1=sin^-1(1/2) x1=30 x2=180-30 x2=150 is this correct? Please and Thank you

Trig Help (URGENT)
Solve over the indicated interval: 2sin^2x=sqrt2sinx , [-180,180) don't how to get x by itself please help and thank you

Trig Help
Given that cos2x=7/12 and "270 equal or < 2x equal or < 360", find sinx. Please help and Thank you

trig
please help me with some questions I skipped on a review for our test coming up? solve 5-7 on the interval 0 greater than or equal to x less than or equal to 2pi. 5. sin x=sqrt3/2 6. cos x=-1/2 7. tan x=0 ---------------- 14. what is the exact value of tan[arcsin(.43...

trig
John weighed five rocks two at a time in all possible ways. The weights in pound are 30,38,41,42,45,46,50,53,58,61. How much does each rock weigh?

trig
How king i find theta if the formula is cot(2theta) = 7/24?

trig
The angle of elevation to the top of a very tall Building is found to be 9° from the ground at a distance of 1 mi from the base of the building. Using this information, find the height of the building.

trig
The angle of elevation to the top of a very tall Building is found to be 9° from the ground at a distance of 1 mi from the base of the building. Using this information, find the height of the building.

Trig
#1 (1/sinx)(sin^2x + cos^2x(sinx/cosx) )/(sinx + cosx) = (sinx + cosx)/(sinx+cosx) = 1 Reiny helped with this question but I don't how Reiny did it. Please explain

Trig
3-square root 2/ 1+square root 2

The area of a circle is 18pi square meters. What is the radius (leaving answer in simplest radical form)

trig
Since cot x = cos x / sin x, if cot x = 1/2, with the angle x in the first quadrant, then cos x = 1 and sin x = 2 (1) State true or false. Is this a possible situation? (2) If false, explain why.

trig
The minute hand of a clock is 6 inches long. What distance does its tip move in 16 minutes?

trig
evaluate tan(51 degree 15')+cot(25 degrees 18')

trig
y= sin x/2, 0 less than equal to x less than equal to 4pi... the question says state the amplitude and period for each equation and graph it over the indicated interval

trig
53. A 60-foot drawbridge is 24 feet above water level when closed. When opened the bridge makes an angle of 33 degrees with the horizontal. a. How high is the tip P of the open bridge above the water? b. When the bridge is open, what is distance from P to Q? 53. A 60-foot ...

trig
how to graph y = 1/2 cos 2x for 0 ≤ x ≤ 2 p

Trig
what is the amplitude, period, phase shift, and vertical shift of each equation? 1. y= A cos(B(x-3))+4 2. y=-2sin(2piX/3) 3. y=4cos(3pi(x+3)) 4. y= -3cos(2(x-pi/4))+0.4 thank you so much!

trig
Describe the possible values of variable a such that (/72) + (/a) can be simplified to a single term. Note: (/a) is the square root of a.

trig
Prove 1+cos X/1-cos X = (csc X + cot X)squared

A balloon isin the vertical plane of two consecutive milestones of a road. The angles of depression of the stones as viewed from the balloon are 15 degrees and 17 degrees. Find the height of the balloon if (a) the stones are on opposite sides of the balloon, (b) the stones are...

trig
cos^4 15-sin^4 15 with out using calculator

trig
If cosecant of theta equals 3 and cosine of theta is less than zero, find sine of theta, cosine of theta, tangent of theta, cotangent of theta and secant of theta

trig
from an observer tower, a ff.above the level of a river,the angle of depression of a point on the near shore is theta and that of a point directly beyond on the far shore is FI. show that the width of the river is a (cotan theta=p+q/r)

trig
right triangle has an acute angle of 24.8 and an adjacent length of 145 what is the side opposite of the acute angle

trig
refer to right triangle ABC with C = 90degrees. Given a= 2 and b=√5 Find the six trigonometric functions of A. and find the angles A and B

Math [Trig]
how do you find a full cycle of a trigonemtric function?

trig
CSC(theta)=1.92 Find Theta. Now I know CSC = 1/sin but no matter how I enter it into my cal I get an error.

Please check these answers thanks. 1. The shadow of a vertical pole is 24.8 feet long when the angle of elevation of the sun is 42degrees 0.0'. Find the height of the pole. Answer: 22.3=height 2. From a point on a lighthouse 108 feet above water, the angle of depression of a ...

Can you please check these answers thanks 1. A ladder 14 feet long is leaning against a house. The foot of the ladder is 4.8 feet from the house. Find the angle of elevation of the ladder and the height it reaches on the house. Answer: 13.2=height 18.9 =angle of elevation 2. ...

Math/trig
Log radical b/ a^2 is equivalent to 1) 1/2 log b + 1/2 log a 2) l/2 log b- 2 log a 3) 2 log b - 1/2 log a 4) 1/2logb/2 log a

Math/Trig
Which logarithmic equation is equivalent to L^m = E 1) LogL E = m 2) logE L = m 3) logm E= L 4) logE m= L

trig
The hypotenuse of the right triangle PQR is 16ft. length. The sine of the angle <P is 3/5. How many feet long is the line if QR?

trig
If theta is an angle in standard position, state in what quadrants its terminal side can lie if theta is equal to -415 degrees?

TRIG
In a right triangle ABC, C = 90°, b = 380.1 inches and c = 589.1 inches. Solve for all the missing parts using the given information. (Round each answer to one decimal place for side and to two decimal places for angles.) A = ° B = ° a = inches IM lOST!

trig
I don't understand this. can you please tell how you got each answer? describe how the graph of each function is related to a basic trigonometric graph. 1. y= 1/2cos x 2. y= 2cos x+1 3. y= sin x-4 4. y= sin(x-4) 5. y= sin(3x) 6. y= cos(1/2x) 7. y= -cos x 8. y= -cos x+2 9. y= -...

trig
if diameter of the circle is 100 cm. and length of the arc forming the angle is 360 cm. Assume that the earth is a perfect sphere of diameter 8000 miles. Find the distance between: Rome, Italy: latitude 42 degrees north Copenhagen, Denmark: latitude 54.3 degrees north

trig
Find sin t,cos t and tan t when the terminal side of an angle of t radians passes through ( -3/5 , -4/5) on the unit circle.

trig
Find sin t ,cos t and tan t when the terminal side of an angle of t radians passes through (2 , 7)

trig
Find sin t ,cos t and tan t when the terminal side of an angle of t radians passes through (2 , 7)

trig
Given theta is in the standard position and is in the first quadrant , if the terminal side of the angle theta is parallel to the line y=x+4 on ,find the measure of theta in degrees.

trig
Given theta is in the standard position and is in the first quadrant , if the terminal side of the angle theta is parallel to the line on ,find the measure of theta in degrees.

trig
Solve the equation 2 tan C - 3 = 3 tan C-4 algebraically for all values of C in the interval 0 degrees <_ C < 360 degrees

trig
If the value of sin theta =12/13 then find the value of 1-cos theta/1+cos theta.

Trig
If sin(t)=4/5 & 0<t<pi/2, find the following: a)sin t(-t) b) sin(t-2pi) c)cos t d)cos(pi-t)

Trig
if tan(x)=9/4, find cos(x) if pi<x<3pi/2

Trig
Help please! Thank you! If csc(theta)= -2 and theta lies in Quadrant III, find tan(theta).

trig
if (0,-7) lies on the terminal side of angle theta in standard position, find each value sec(theta) , cot(theta) and sin(theta)

TRIG HELP ASAP
I really need help on this problem. A sector has area of 15 in^2 and central angle of 0.2 radians. Find the radius of the circle and arc length of the sector

Geometry/trig
A plane is flying due south at a speed of 300 mph. The wind is blowing from the west at a speed of 40 mph. Find the resultant speed of the plane and the direction of the plane

trig
tan theta= square root of 3 / 3 if o degrees is less than or equal to theta less than o equal to 360

Calculus
Integrate [1/square root of(e^(2x)-1)]. I have to use u substitution. We are doing the integrals of inverse trig functions, but I cannot get it to work out!

trig
A race driver has a pit stop to refuel. After refueling, he starts from rest and leaves the pit area with an acceleration whose magnitude is 5.5 m/s^2; after 3.6 s he enters the main speedway. At the same instant, another car on the speedway and traveling at a constant ...

trig
If tan theta = sin theta, and theta is greater than or equal to 0 and less than or equal to 2 pi. find cos theta and what is theta

trig
What is the domain, range, and period of y= sin x + 1 What is the domain, range, and period of y= -cos x Can someone please help?

Trig
can you please simplify these in faction form? (pi/3) +1=? (2pi/3) +1=? (3pi/4) +1=? (5pi/4) +1=? (5pi/3) +1=? thank you so much!

Trig
a. What is the length of the hypotenuse of triangle ABC? b. What is the length of the shorter leg of triangle ABC? c. What is the length of the longer leg of triangle ABC? angle A=60, angle B=30, angle C=90 the triangle has a height of 10

trig
use the discriminant to solve for the smallest value of b that would make the roots of the equation x^2+bx+5=o imaginary

trig
what is the correct answer in trigonometric identities. DiViDE ; x^5 + 5x^4 - 2x^3 + 3x^2 + 2x + 1 by x + 3

trig
what is the correct answer in proving trigonometric identities if tan theta / sin theta = sec theta

trig
what is the correct answer in proving trigonometric identities if tan theta/sin theta = sec theta

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