Hosted by Mr. Guthrie 100 200 400 300 400 Definitions Trig IdentitiesCoordinate Trig Trig Problems 300 200 400 200 100 500 100.

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Hosted by Mr. Guthrie

Definitions Trig IdentitiesCoordinate Trig Trig Problems

Row 1, Col 1 Relative to the acute angle of a right triangle, the three sides of a right triangle are the ? What is opposite, adjacent, and hypotenuse?

1,2 Simplify tan A cot A. What is 1?

1,3 Determine the value of r for the coordinates (-10, 8). What is 2  41?

1,4 A right triangle has an acute angle measuring 50  with an hypotenuse of length 15. Find the length of the opposite side to the nearest tenth. What is 11.5?

2,1 Define sin, cos, and tan by a right triangle with acute angle A. What is sin A = opp/hyp, cos A = adj/hyp, and tan A = opp/adj?

2,2 State the three Pythagorean Identities so that they all Equal 1. What is sin 2 x + cos 2 x, sec 2 x – tan 2 x, and csc 2 x – cot 2 x?

2,3 State the values of sine, cosine, and tangent whose coordinates are (-24, 10). What are sinA=5/13, cosA=-12/13, and tanA=-5/12?

2,4 If tan  = 3/2 and the terminal side of  lies in Quadrant III, what is the value of sec  ? What is -  13/2?

3,1 Use a calculator to evaluate the csc 48  07 What is ?

3,2 If csc  = 3 and sec  = 3  2/4, what is sec (90  -  )? What is 3?

3,3 Find the reference angle for 120  and 5  /3? What is 60  and  /3?

3,4 Find two solutions for the equation that is between 0  and 360  : sin  = - ½ What is  = 210  and 330  ?

4,1 State the quadrant in which  lies: cot  > 0 and cos  > 0 What is quadrant IV?

4,2 Simplify (1 + cos  )(1 – cos  ). What is sin 2  ?

4,3 Evaluate the sine, cosine, and tangent of - 17  /6 without using a calculator. What is sin -17  /6 = - ½, cos -17  /6 = -  3/2, and tan -17  /6 =  3/3?

4,4 A guywire is stretched from the top of a 200-foot broadcasting tower to an anchor making an angle of 58  with the ground. How long is the wire? What is feet?

5,1 If cot  = 9/4, what is cos  ? What is 9  97/97?

5,2 Simplify: What is csc  sec  ?

5,3 The terminal side of  lies on the line y = - x and in Quadrant II, find the value of sec  by finding a point on the line. What is sec  = -  2?

5,4 A ramp 20 feet in length rises to a loading platform that is 3 1/3 feet off the ground. Find the angle of elevation. What is  ?