Answer:
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
