12. Use a half-angle identity to find the exact value of cos 105 degrees. 13. Solve tan(x) - sqrt(8) = 0 for 0 <= x <= 2*pi. 14. Solve 4sin^2(x) - 1 = 0 for principal values of x. Express the solution(s) in degrees. 15. Solve cos^4(x) - 1 = 0 for all real values of x. 16. Write the equation 2x + 5y - 3 = 0. 17
For the following trigonometric equation, find all solutions in the interval 0≤ θ ≤ 360 2 cot θ sec θ = 3
Find sin s Cot s = -1 / 3, s in quadrant IV Verify each trigoometric equation is an identity Write each function value in terms of the cofunction of a complementary angle. Find an angle Θ that makes each statement true Find cos(s+t) and cos(s-t) Please see the attached file for the fully formatted problems
Solve the following equations in the interval given in brackets: √3 sin 2θ + 2 sin^2 θ=1 {0 ≤ θ ≤ pi} cos 2θ=5 sinθ {-pi ≤ 0 ≤ pi}.
Tan (a + b) = (5/12 -1/sqrt3) / 1 - (5/12)(-1/sqrt3)
1. Prove that cotx/(1+tan(-x)) + tanx/(1+cot(-x)) = cotx+tanx+1 2. Prove that (sinx+tanx)/(1+secx) = sinx.
Find all solutions in the interval [0,2pi): cos2x + 5cosx = 2
Find all solutions in the interval [0,2pi) A) cos3x + 7cosx = 3 B) 4sin^2x + 9sinx + 7 = 0
We have been working on proving identities and it's a subject I just can't get my brain around. A few of the problems we've been given have made me stumble. cotx/1+tan(-x) + tanx/1+cot(-x) = cotx + tanx +1 I figure on this one, with using identities, I can get: cotx/1-tanx + tanx/1-cotx = cotx + tanx +1 But I can't g
In a right triangle, use standard labeling, you are given a=3.27, b=7.84, c=8.49, find sin A.
1. If sin(alpha)=1/5 where alpha is in quadrant II, find the remaining five trigonometric functions of alpha. 2. Given that sin(alpha)= -2/3 and cos(alpha)= -root5/3>0, find the remaining four trigonometric functions. 3. Sketch a graph of y=3cos(2theta+pi) using either transformations or the "5 key points" method. Be
Which of the following is identical to cos 5x cos 3x + sin 3x sin 5x? cos 2x cos 8x sin 2x sin 8x
Which of the following is identical to sin^2 3x+ cos^2 3x 6 18 1 3
Which of the following is identical to cos(x+(Pi/2))? -sin x sin x sinx+cosx cos x.
Please explain and show all of your work For number 2 please use any address and zipcode for Chicago or a suburb of Chicago. Please show the address and zipcode as well. 1. Consider the graph of y = tan x. (a) How does it show that the tangent of 90 degrees is undefined? (b) What are other undefined x values? (c) What is
Verify the identity algebraically: 1+ cos 10y = 2 cos^2 5y
Approximate the solution of the equation in the interval [0,2pi]. If possible find the exact solutions algebraically. (sin 2x + cos 2x)^2 = 1
Suppose cos(u) =-6/7 and sin(v) =3/4. If u and v are in quadrant 2, find cos (u+v)
Find all of the exact solutions for the equation: 3-3sin(x)=2cos^2(x)
Prove the trigonometric identity 1 + cosx = 1 _______ _________ sinx cscx - cotx
Given vectors v= 150mi at 175 degree and w= 270 mi at 215 degree. Find the sum of v and w.
A tree casts a shadow 86 ft long when the angle of elevation of the sun is 48.7 degrees. Find the height of the tree.
Find the angle of elevation of the sun at the time when a 25 foot tall tree casts a 40 foot long shadow.
From a boat sailing due north at 16.5 mph a wrecked ship K and an observation tower T are observed in a line due East. One hour later the bearings from the boat to K and T are S34(deg)East and S65(deg)East, respectively. Find the distance between K and T. keywords: bearings
A boat travels in a direction of N40(deg) E for 3 hours at 20 mph. How far North and how far East did the boat travel? keywords: bearings
See attached file for full problem description. Please show answers with all steps.
Complete the Identity: 1. cos 4(theta) 2. sin(theta) sin(theta) ---------- - ---------- 1+sin(theta) 1-sin(theta) Use the given information to find the exact value of the expression. 3. Find sin(2theta). tan(theta) = 24/7, theta lies in quadrant III.
1. A surveyor is measuring the distance across a small lake. He has set up his transit on one side of the lake 130 feet from a piling that is directly across from a pier on the other side of the lake. From his transit, the angle between the piling and the pier is 55(degrees). What is the distance between the piling and the p
Y = ln(t^2 + 4) - 1/2 arctan t/2
What are different kinds of trig identities? Questions: 1. If sin x = -1/3, what is cosx? 2. Simplify the expression (sinx + cosx)^2 + (sinx - cosx)^2 3. Verify the identity cotx - tanx = (csc2x - sec2x)/sinxcosx