Well, darling, to solve for t when t squared equals 169, you simply take the square root of both sides. So, t equals plus or minus the square root of 169, which is 13. Easy peasy lemon squeezy. Now go show off your math skills, honey!
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Oh, dude, 13 times 13 equals 169. It's like, basic math, you know? Just multiply 13 by itself and boom, 169. Easy peasy lemon squeezy.
y2 = 169 Square root both sides: y = 13
169
sin(t) = 7/13 cos2(t) = 1 - sin2(t) = (169 - 49)/169 = 120/169 so cos(t) = ±sqrt(120)/13. But sin(t) > 0, tan(t) < 0 implies t is in the second quadrant so cos(t) = -sqrt(120)/13 And then tan(t) = sin(t)/cos(t) = -7/sqrt(120) = -0.6390 (approx).
Each of these factor pairs (multiply the numbers in parentheses) equals 1,521: (1, 1521) (3, 507) (9, 169) (13, 117) (39, 39)