Question

Calculate tan∅ if sec∅ = 7/5​

Answer 1

We know that..

1 + tan^2∅ = sec^2∅

1 + tan^2∅ = (7/5)^2

tan^2∅ = 49/25 - 1

tan^2∅ = 49-25/25

tan^2∅ = 24/25

tan∅= \sqrt{24} /5

tan∅ = 2 \sqrt{6}  / 5

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