secθ = 3/2 হলে tanθ = ?

A

2/3

B

5/2

C

5/2

D

1

উত্তরের বিবরণ

img

সমাধান:
secθ = 1 / cosθ
⇒ cosθ = 1 / secθ = 1 / (3/2) = 2/3

tan²θ + 1 = sec²θ
⇒ tan²θ + 1 = (3/2)²
⇒ tan²θ + 1 = 9/4
⇒ tan²θ = 9/4 − 1
⇒ tan²θ = 9/4 − 4/4
⇒ tan²θ = 5/4
⇒ tanθ = √(5/4)
⇒ tanθ = √5 / 2

উত্তর:  √5/2

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Updated: 17 hours ago

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