Using pythagorean identities,tan(sin^-1(-5/13))= tan(arcsin(-5/13))
Let A = arcsin(-5/13) = -arcsin(5/13)
Thus, sin A = -5/13 and cos A = sqrt(1 - (5/13)^2) = 12/13.= tan(A)= sin(A) / cos(A)= -5/13 / (12/13)= -5/12
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Answer:
x=9
Step-by-step explanation:
Use the intersecting chord theorem:
RE*ET = UE*ES
Substitute values
21 (2x+2) = 30 (x+5)
Expand:
42x+42 = 30x + 150
transpose and simplify
42x-30x = 150 - 42
12x = 108
x = 9
6
6 * 0.7 = 4.2
4.2 * 0.7 = 2.94
2.94 * 0.7 = 2.058
2.058 * 0.7 = 1.4406
1.4406 * 0.7 = 1.00842
4.2 + 4.2 + 2.94 + 2.94 + 2.058 + 2.058 + 1.4406 + 1.4406 =