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Poftethef9t

Poftethef9t

Answered question

2022-06-30

Simplify 5 | sec θ | if θ = arctan ( x / 5 )

Answer & Explanation

Xzavier Shelton

Xzavier Shelton

Beginner2022-07-01Added 26 answers

HINT:
tan θ = x 5
sec 2 θ = 1 + ( x 5 ) 2 = x 2 + 25 25
Observe that | sec θ | , x 2 + 25 > 0
Poftethef9t

Poftethef9t

Beginner2022-07-02Added 9 answers

θ = tan 1 x 5 tan θ = x 5
But, tan 2 θ + 1 = sec 2 θ = x 2 25 + 1 = x 2 + 25 25
Hence, 5 | sec θ | = x 2 + 25

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