3 years ago

Use basic identities to simplify the expression.1 / cot^2 theta + sec theta cos theta

Mathematics

1 answer:

melomori [17]3 years ago

7 0

Answer:

(1 / cot²θ) + secθ cosθ

(1 / cotθ) == tanθ

Therefore

tan²θ + secθ cosθ

secθ == (1 / cos θ)

Therefore

tan²θ + (1 / cosθ) cosθ

The cosθ 's cancel out

Therefore

tan²θ + 1

tan²θ + 1 == sec²θ

Therefore

sec²θ is the simplified answer

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Use basic identities to simplify the expression.1 / cot^2 theta + sec theta cos theta​

Use basic identities to simplify the expression.1 / cot^2 theta + sec theta cos theta