Question

If cosx=-3/5 and π < x < 3π/2, find the other t-ratios and hence evaluate (cosecx+cotx) /(secx - tanx )

Answer 1

Step-by-step explanation:

cos53°=3/5.

cos(-53°)=-3/5

cosec=-5/4

cot=3/4

sec=-5/3

tan=-4/3

(cosecx+cotx)/(secx-tanx)=[(-5/4)+(3/4)]/[(-5/3)-(-4/3)

=(-2/4)/(-1/3)

=(-1/2)/(-1/3)

=3/2

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