Trigonometry Trigonometric Functions Given: Tan θ = (7/5), Find: Sec θ

asked Sep 7, 2021 19.0k views

1 vote

Trigonometry
Trigonometric Functions
Given: Tan θ = (7/5), Find: Sec θ

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4 votes

Answer:

secθ = sqrt(74)/5, -sqrt(74)/5

Explanation:

1 + tan²θ = sec²θ

1 + (7/5)² = sec²θ

1 + 49/25 = sec²θ

74/25 = sec²θ

secθ = sqrt(74)/5, -sqrt(74)/5

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