c a httpsllimathas rationalreasoningnetassessmentshowtestphp

c a https:llimathas rationalreasoning.net/assessment/showtest.php?actionmskip&to-3; Q306 7/10) Q5 (6/10) Q 6 (0/10) Q7 (8 AV10) Q 8 (0/10) 29 (0/10) 39.1/100 a. Approximate the measure ofthe indicated angle, n, measured in radians. radians Preview b. Using the figure above, and without using a calculator, approximate the value of 2 sin(n). c. Using your answer from part (b), approximate the value of sin(m). d. Using the figure above, and without using a calculator, approximate the value of2cos(n). Preview e. Using your answer from part (d), approximate the value of cos(n). Preview

Solution

Point is (-.6,-1.8)

Tan theta=y/x

Tan theta= 1.8/.6

Theta=tan^-1(1.8/.6)= 251.565 degree4.39 radians

b. Here opposite =1.8 and adjacent= .6

Hypotenuse= sqrt(1.8²+.6²) sqrt3.6

Sin n= opposite/hypotenuse= -1.8/sqrt 3.6 =-.95

2sin n= -1.9

c. Sin n= 2sin n/2 =-1.9/2=-.95

d. 2 cos n

cos n= adjacent/hypotenuse= -.6/sqrt3.6 =-.3162

2 cos n= 2*.3162=-.6325

e. Cos n= 2 cos n/2=-.3162