kellerpaula kellerpaula

23-03-2020
Mathematics

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

Respuesta :

amna04352 amna04352

23-03-2020

Answer:

cosθ = 5sqrt(74)/74, -5sqrt(74)/74

Step-by-step explanation:

1 + tan²θ = sec²θ

1 + (7/5)² = sec²θ

1 + 49/25 = sec²θ

74/25 = sec²θ

secθ = sqrt(74)/5, -sqrt(74)/5

cosθ = 5/sqrt(74) , -5/sqrt(74)

cosθ = 5sqrt(74)/74, -5sqrt(74)/74

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