I can't write theta, so I'll use A instead. A is in Q3so sinA & cosA <0, tanA>0. cscA = -9/5 so sinA = -5/9; cosA = 1 - sin^2A - 1 - 25/81 = 56/81 so cosA = -2rt14/9; tanA = sinA/cosA = [5/9}/{2rt14/9) = 5/2rt14 = 5rt14/2; cotA = 1/tanA = 2rt14/5; secA = 1/cosA = - 9/2rt14 = - 9rt14/2
Source(s): Retired Maths Teacher
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I can't write theta, so I'll use A instead. A is in Q3so sinA & cosA <0, tanA>0. cscA = -9/5 so sinA = -5/9; cosA = 1 - sin^2A - 1 - 25/81 = 56/81 so cosA = -2rt14/9; tanA = sinA/cosA = [5/9}/{2rt14/9) = 5/2rt14 = 5rt14/2; cotA = 1/tanA = 2rt14/5; secA = 1/cosA = - 9/2rt14 = - 9rt14/2