Evaluate sec 240Á without using a calculator by using ratios in a reference triangle.

Mathematics

2 answers:

s344n2d4d5 [400]3 years ago

6 0

Sec∅ = 1/cos∅
= 1/cos(240)
= 1/cos(180 + 60)
= 1/-cos(60)
= 1/(-1/2)
= -2

balandron [24]3 years ago

6 0

60=pi/3
cos 60 = 0.5
sec 240 = 1/ cos 240
cos 240 = cos (180+60)
cos (180+x) = -cos x
cos (180+x) = -cos x
so
cos 240 = -cos 60
= -0.5
 sec 240 =1/ cos 240
= 1/(-0.5)
= -2

You might be interested in

What is 0.6 repeating as a fraction

cluponka [151]

Answer:

2/3

Step-by-step explanation:

0.6 repeating as a fraction is 2/3

3 0

3 years ago

Read 2 more answers

Describe the difference between parallel and perpendicular lines, their slopes and graphs

Aloiza [94]

Parallel lines have the same slopes (but different y intercepts). Parallel lines never cross. Parallel lines are the same distance from each other no matter where you are on either line. Think of it like a pair of perfectly straight railroad tracks.

-------------------------------------------------------------------------------------

Perpendicular lines cross at one point. The two lines form a 90 degree angle. The two slopes multiply to -1, which is another way of saying that the slopes are negative reciprocals of one another. For example, a line with a slope of 2/3 and another line with a slope of -3/2 has these two values multiply to -1; therefore showing they are perpendicular lines.

7 0

3 years ago

Read 2 more answers

Determine the value of y, if x is 5. y= (x +3 Answer: Submit Answer

zepelin [54]

Answer:

y=8

Step-by-step explanation:

substitute (plug in) 5 for x because it says that the value of x is 5