# Trigonometry

Trig
Find the eccentricity of the ellipse. x^2+7y^2=35

trig and combine function
Suppose f(x)=cos x - sin x and g(x)=cos x + sin x. Explain why the graph of (fxg)(x) is equivalent to the graph of h(x)=cos x after it has been horizontally compressed by a factor of 1/2. Thanks so much...

trig
3e^2x=18

trig
solve for the equation x sin x= -.35 180<x<270 sin x= .2 90<x<180 cos x = -.72 180< x<270 please explain, thanks :)

Trig
Ok i understand how to do these I'm just stuck on this one: secx + tanx = 1

trig
2sin(4x)[(cos(3/2)x)(cos(5x/2)-sin((15/4​)x)]+x can someone simplify this using trig identities?

2sin(4t)[(cos(3/2)x)(cos(5x/2)-sin((15/4​)x)]+x

trig pre calc
cos x (sec x +cos x csc2x)=csc2x

trig
find the values of x between 0 and 2 pi where the tangent line to the graph of y = sinxcosx is horizontal

trig
cos(π-x)=

trig
1-2sin^2(2x)

trig
two dice are rolled, find p(2,then 3)

Trig
simplify the expression to a single term: (1-2Sin^2 X)^2 + 4sin^2 X Cos^2 X I'm not sure how to start this or which identities to use. Any suggestions?

Trig
If you are dealt 3 cards from a shuffled deck of 52 cards, find the probability that all 3 cards are picture cards.

algebra-trig help asap
Write an equation I'm not sure how to do this though. The sine of x with an amplitude of 4, period of 3(pie) and phase shift to the right of pie/4

math algebra trig
For the graph of each function, find an equation of the line of symmetry and the coordinates of the vertex. Tell whether the value of the function at the vertex if a maximum or a minimum: a) y = -x^2 + 4x - 7; b) y = 2x^2 + 4x; c) y = -3x^2 - 18x + 5.

algebra-trig help asap
An isosceles triangle has a base 36 cm long and a base of 65 degrees. Find its perimeter. I'm not sure if this is right but my answer is 1250.4 in^2

Can anyone please explain these problems to me?? I really need help!I need to simplify these trig expressions but I don't understand how my teacher is doing it at all and I have a quiz on this tomorrow! I've really been trying but I just don't get it! 1)Mulitply: [cosx/(1-cosx...

trig
If x and y are complementary angles and 5 tan x-12=0,calculate by using a diagram the value of 2sin(squared)x+cos y.

trig
What is the exact value of 11pi/8? (with steps please) :)

trig
Determine whether the vectors are parallel, perpendicular or neither. 1) v = (4,1), w = (1,-4) 2) v = (2,3), w = (4,6) 3) v = (2,3), w = (3,-3) Please and thanks!

trig
Find the component form for vector v with the given amplitude and direction angle theta. |v|=20.6, theta=102.5deg

trig
(-10√2, -10√2), find te magnitude and direction angle of the vector, measure the direction angle in [0, 360). Please help!

trig
Find the dot product of u and v u= 3i+7j v= 11i-5j

Application prob. for Trig.
Hi, A fountain in a shopping centre has a single jet of water. The height of the jet of water varies according to a sinusoidal function. A student notes that, in exactly one minute, the jet goes from a minimum height of 2m to a maximum height of 6m and back to 2m. At 13:00, ...

trig
At rest, the human heart beats once every second. At the strongest part of the beat, a person's blood pressure peaks at 120mmHg. At the most relaxed part of the beat, a person's blood pressure drops to 80mmHg. Supposing that t = 0 corresponds to the peak of the beat, write ...

trig
a 6 foot tall man is standing near a tree on level ground .if the man shadow 4 feet long .how many feet tall is the tree?

Honors Trig.
A plane is flying at a speed and direction of 550 mph, 25 degrees north of west. There is a wind of 28 mph, at an angle of 19 degrees south of the east direction. How fast is the plane actually flying? What direction is the plane traveling?

Maths trig
Use compound angle formulae to express Second harmonic i2= sin2t and the the third harmonic i3=sin3t in terms of the first harmonic sint

algebra 2/trig
Write the next term of sequence,and then write the rule for the nth term. 1)1,8,27,64,....125 the nth is 2) 3,8,15, 24,.....35 the nth is Can you help me and correct ? thank

TRIG
5. A wheel 5.00 ft in diameter rolls up a 15.0° incline. How far above the base of the incline is the top of the wheel after the wheel has completed one revolution? A. 4.07 ft B. 13.1 ft C. 8.13 ft D. 9.07 ft

algebra2/trig
Write the next term of sequence,and then write the rule for the nth term. 1)1,8,27,64,....125 the nth is n 2) 3,8,15, 24,.....35 the nth is Can you help me and correct ? thank you

trig question
Hi, my question is attached to the web below (picture), because I can't draw the diagram on here. Sorry for any inconvenience. Please help and thanks. imageshack . us/photo/my-images / 845 / img0043gx . jpg/

trig-math
4. A carpenter wants to be sure that the corner of a building is square and measures 6.0 ft and 8.0 ft along the sides. How long should the diagonal be? A. 12 ft B. 10 ft C. 11 ft D. 14 ft 5. A wheel 5.00 ft in diameter rolls up a 15.0° incline. How far above the base of the ...

trig question
NEW DIAGRAM: On a unit circle, sin x = square root 3 over 2, with center O. Vertical line from top to center of circle is PO. Horizontal line from middle to right of circle is OE. Another vertical line of AB is parallel to PO. And radius of circle (line from O to A) is 1 unit...

trig question
On a unit circle, sin x = square root 3 over 2, with center O. Vertical line from top to center of circle is PO. Horizontal line from middle to right of circle is OE. Another vertical line of AB is parallel to PO. And radius of circle (line from O to A) is 1 unit. From A to E ...

math-TRIG
1. Which angle measure is consistent with all of the following criteria? (i) The reference angle is 40°. (ii) The angle is more than one revolution. (iii) The angle's terminal side is in Quadrant II. (iv) The angle isn't positive. A. –580° B. –500° C. –220° D. 500° ...

trig problem
Hi, A fountain in a shopping centre has a single jet of water. The height of the jet of water varies according to a sinusoidal function. A student notes that, in exactly one minute, the jet goes from a minimum height of 2m to a maximum height of 6m and back to 2m. At 13:00, ...

Trig. application
Hello.. In your previous solution to the question: "Dave is going for a ride on his unicycle. The radius of the wheel is 25.5cm. When he gets on, the valve of the wheel is at its maximum height. He pedals along a path at a speed of 30km/h. At what height will the valve be ...

math - trig
1.Which angle measure is consistent with all of the following criteria? (i) The reference angle is 40°. (ii) The angle is more than one revolution. (iii) The angle's terminal side is in Quadrant II. (iv) The angle isn't positive. A. –580° B. –500° C. –220° D. 500° 2...

Trig. application
Dave is going for a ride on his unicycle. The radius of the wheel is 25.5cm. When he gets on, the valve of the wheel is at its maximum height. He pedals along a path at a speed of 30km/h. At what height will the valve be located after he has cycled for 4 minutes? How do I find...

Trig Help!
Question: Trying to find cos π/12, if cos π/6 = square root 3 over 2, how to find cos π/12 using DOUBLE angle formula? This is what I got so far.. cos 2(π/6) = cos (π/6 + π/6) = (cos π/6)(cos π/6) - (sin π/6)(sin π/6) = cos^2...

Solving Trig equation
Solve the trig equation exactly in the interval 0≤x≤2π. tan x + tan π/3 ------------------ = square root 3 1 - tan x tan π/3

trig
Consider the trigonometric function f(t) = -3+4cos(pi/3(t-3/2)) What is the amplitude/period of f(t)? What are the maximum and minimum values attained by f(t)?

alg2/trig
how would you express cos(75 as a single fraction?

Trig Question
Given that tan x= -3/4 and x is in the second quadrant. Find sin 2x, cos 2x, and tan 2x (Exact, no decimals). Please show step-by-step, thank you!

trig
(sec6x+sin2x)/(sin6x-sin2x)=tan4xcot2x

trig
Prove that if Sinx=5/13 and Siny=12/13, where x and y angles in Q1, then Sin(x+y)=1

trig
find the math product of u and v u= (6,7) v= (-3,9)

trig
2sec(3x-(pi/3)) Find the period.

Trig.
Solve. Check for extraneous solution. 6x= √20+6x

Trig
Dalco manufacturing estimate that its weakly profit, P, in hundreds of dollars,can be approximated by the formula P= -4x²+8x+7, where x is the number of units produced per week, in thousands. 1)How many units should the company produce per week to earn maximum profit 2)Find ...

Trig.
Subtract. Simplify is possible. (x^2-3x-28)/(x^2-x-42) -(x^2+10x+24)/(x^2+x-12)

Trig
sin^4t-cos^4t/sin^2t cos^2t= sec^2t-csc^2t i have =(sin^2t+cos^2t)(sin^2t+cos^2t)/sin^2tco​s^2t then do i go =(sin^2t+cos^2t)/sin^2tcos^2t stumped

Alg2/Trig
Write the log as a single function: logx + 2logy - logz

Trig/Precalc

Trig?Precalc
write the rectangular equation x^2+y^2=6 in polar form. I do not want people to just post the answer! Please, show your work so that I can understand how to do these kinds of problems myself! Thank you and God Bless!

algebra-trig help asap
x=sec^-1 2 I really need help with this problem. Thanks

algebra-trig help asap
Evaluate the expression. Assume that all angles are in Quadrant I. 14. tan(arccos 3/5)

Can anyone help with this question? Now suppose that, starting with the ﬁrst row of seats, the ﬂoor of the seating area is inclined at an angle of Theta = 25 degrees above the horizontal, and the distance that you sit up the incline is x, as shown in the ﬁ...

algebra-trig help asap
Evaluate the expression. Assume that all angles are in quadrant 1. 1. cos(arccos4/5)

math, trig
Graph one period of the following function. Show all work . y=2sinx+2cosx

trig
a 7 foot tall man is standing 65 feet away from a tower. if the angle of elevation is 35 degrees. what is the height of the tower to nearest tenth of a foot?

mth, trig
Given cos a=-7/25 in quadrant II , and sin b=-12/13, in quadrant IV , find cos(a+b) and sin2a

Trig
Can anyone help with this question. Now suppose that, starting with the ﬁrst row of seats, the ﬂoor of the seating area is inclined at an angle of Theta = 25 degrees above the horizontal, and the distance that you sit up the incline is x, as shown in the ﬁ...

Trig
Can you show us how to use law of cosines to show that theta equals inverse cosine of (a^2 + b^2 -484)/(2ab) where a^2=(7+xcos a)^2 + (28-xsin a)^2 and b^2=(7+xcos a)^2 + (xsin a -6)^2? Thanks

trig
A 100 kg box slides with constant velocity down a ramp inclined at 20 degrees, with the horizontal. Find the frictional force acting on the box.

Trig
How do you find the exact circular function value of csc(-23pi/6)? I don't know how to do the pi symbol on the keyboard.

trigonometry
given that sin alpha/2 = 2/3, and that alpha/2 is in quadrant II, determine the exact values of all trig functions for alpha.

trig
A submersible traveling at a depth of 250 feet dives at an angle of 15 degrees with respect to a line parallel to the water's surface. It travels a horizontal distance of 1500 feet during the dive. What is the depth of the submersile after the dive?Explain how the angle of the...

Math- Trig
1. Determine the exact value of cos^-1 (pi/2). Give number and explanaton. 2. Determine the exact value of tan^-1(sq. root 3). with explanation. 3. Determine exact value of cos(cos^-1(19 pi)). with explanation. 4. Determine the exact value of sin(sin^-1(20 pi)). with ...

Trig/PreCalc
Teach me how to express 5sqrt3 - 5i in polar form please. I don't want you to do the work for me. Just show me the steps I need to do the work properly on my own. Otherwise I will not pass this class or the exam when I enter college, and I do not want to retake PreCalc. Its a ...

Trig
How do i find the exact value of sin 15 using the half angle formula

Trig
can I please have help with these 3 questions? 1. Solve this equation graphically on the interval [0, 2ð]. list the solutions. sin(2x)-1=tan x 2. solve sin x cos x= sqrt3/4 3. solve tan^2 x-3tan x+2=0 thank you! show step by step please.

algebra-trig help ASAP

algebra-trig
Can someone please explain to me how to graph sine and cosine step by step because I am so confused and I really really need help.

algebra-trig
Can someone please explain to me how to graph sine and cosine step by step because I am so confused and I really really need help.

Math - Trig
A projectile is fired with an initial velocity of 88 ft/sec at an angle of 35° to the horizontal. Neglecting air resistance, what is the time of impact? I just can't figure it out.

microsoft excell 2007
entering the formula=SUM(C5:C18)is cell C19 will resolve in which of the following? (a)cells C5 and C18 will be added together (b)cells C5 and C18,and C19 will be added together (c)the total of cells C5 to C19 will appear in cell C19 (d0the total of cells C5 to C18 will appear...

microsoft excell 2007
when working with predefined formulas in excel,what category contains the boolean functions? (a)math and trig (b)recently used (c)logical (d)auto sum my answer is c debbie needs to print her table.which of the following is not an excel print program? (a)title (b)table (c)...

trig/precalc
a car's flywheel has a timing mark on it's outer edge. the height of the timing mark on the rotating flywheel is given by y=3.55sin[x - (pi/4)]. graph one full cycle of this function. I was not taught how to graph a function like this, only the simple y= sin x and y= cos x ...

Trig
Rewrite 7pi/5 in degrees.

trig
solve the equation of the domain 0¡Ü¦È¡Ü2¦Ð 3cos^2theta - 5costheta -1 = 3sin^2theta

Trig
A ferris wheel has a 14 meter diameter and turns counterclockwise at 6 rpm. a) Assuming that the center of the wheel is the origin of an x-y coordinate plane, write functions to find the position (x,y) of a rider that starts at the bottom of the wheel. b) Where is the rider 2 ...

Trig
Find the supplement of pi/6

Trig-desperate
f(x)=sin2x and g(x)=1/2tanx for x is the element of [-90;180] 8.1)calculate the x-coordinates of the points of intersection of f and g.

TRIG
Factor 4cos^2x+4cosx-1=0

Trig
Factor 4cos^2x+4cosx-1=0

Trig
What is the supplement of 3pi/5?

Trig
Complete the following statement. (1-sinθ)(1+sinθ)

Trig
Find the co terminal angle for 15pi/4

Trig
19pi/7 Which quadrant does the terminal side lie on?

Sin23=p write cos113 in terms of p

Find the indicated angle è. (Use either the Law of Sines or the Law of Cosines, as appropriate. Assume a = 95 and c = 137(angle B=38). Round your answer to two decimal places.)

trig
if one of a quadratic equation is 1/2-2i, what is the equation. the other root is 1/2+2I but i don't know how to find the equation

trig
if sin2x=3sin2y, find 2tan(x-y)

alg2/trig
If 4x^2+9=kx, what value of k will produce equal roots? the answer is 12 but i don't understand how you get it, please help!

Trig.
Find to the nearest degree, all values of ө less than 360˚ that satisfy the equation 2tan^2θ-2tanθ=3

Trig.
What is the trigonmetric fact for sin 3.14/8?

trig
simplify cox^2x-cos^4x