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Trigonometry

A tower, 28.4ft high must be secured with a guy wire anchored 5ft. from the base of the

tower. What angle will the guy wire make with the ground?

Trigonometry

Use the diagram to find the angle measures of the triangle. Recall that the sum of the angle measures of a triangle is 180Â°

x=

(x+4)=

9x=

Trigonometry

if P (2Ï€/3) = ( -1/2 , /3/2) then cos Ã˜ =?

Trigonometry

Prove the following identities

(a)(cos t)(tan t)(csc t) =1

Trigonometry

Explain the Pythagorean Theorem, its proofs and applications.

Trigonometry

APPLICATIONS OF TRIGONOMETRY

- An astronomer finds that the distance from planet A to galaxy B is 30 light years and the distance from A to galaxy C is 80 light years. the angle between distance AB and distance AC is measured to be 60 degree.

A. how far apart are the galaxies? (distance of galaxy B to galaxy C); and

B. Find the angle between distance AB to distance BC.

*show complete solution.

Trigonometry

If cos(A-B) = cos 15Â° and cos(A+B)= cos 75Â° , the values of A and B. Hence without using a calculator and by using the sum and difference formula, show that cos 15Â° - cos 75Â° = 2 sin 45Â° sin 30Â°

Trigonometry

P(3,-3) lies on the terminal arm of an angle in standard position.

a. Draw a sketch of the principal angle (Î¸) in standard position. Label Î¸ AND the related acute

angle, RA. [2 marks]

b. Determine the exact primary trig ratios for Î¸. Show ALL your work. You do not need to

rationalize the denominator, but you must simplify your radical and your ratios. [5 marks]

c. Determine the values of the principal angle and related acute angle to the nearest degree.

Trigonometry

1. A commercial ship is heading due North

at 12.0 km/hr but drifts westward at 5.0

km/hr. determine the magnitude and

direction of the resultant velocity of the

ship.

2. Find the resultant of the following

vectors.

A = 30 m at 30Â° with the x-axis

B = 20 m at 120Â° with the x-axis

C = 10 m at 225Â° with the x-axis.

Trigonometry

Show that d= 2vÂ² costheta sintheta(0_x)/gcosÂ²thetax