Find the exact value of sine, cosine, and tangent of a and t for each triangle.

See below  

Step-by-step explanation:

14)

 14² =   8² + TV²

196 = 64  + TV²

TV² = 132

TV =√132 = √(4 × 33) = 2√33

sinA = TV/AT   = (2√33)/14 = √33/7

cosA = AV /AT = 8/14          = 2/7

tanA = TV/AV   = (2√33)/8  = √33)/4

sinT = AV/AT   = 8/14          = 4/7

cosT = TV/AT   = (2√33)/14 = √33/7

tanT = AV/TV   = 8/(2√33)   = (4√33)/33

16)

  6² = 3² + GT²

 36 = 9   + GT ²

GT² = 27

GT  = √27 = √(9 × 3) = 3√3

sinA = GT/AT  = (3√3)/6 = √3/2

cosA = AG/AT = 3/6        = ½

tanA = GT/AG = (3√3)/3 = √3

sinT = AG/AT = 3/6        = ½

cosT = GT/AT = (3√3)/6 = √3/2

tanT = AG/GT = 6/(3√3) = (2√3)/3

18)

 13² =   8² + TX²

169 = 64  + TX²

TX² = 105

TX  = √105

sinA = TX/AT  = (√105)/13

cosA = AX/AT = 8/13

tanA = TX/AX  = (√105)/8

sinT = AX/AT  = 8/13

cosT = TX/AT  = (√105)/13

tanT = AX/TX  = 8/(√105) = (8√105)/105

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.  

well my understanding of this question is they want you to use the y=14.1x -2.3 and put the coordinates they gave you onto the line segment of   y=14.1x -2.3

step-by-step explanation: