Question

If tanθ =3/4 , find the values of secθ and cosθ.

Answer 1

QUESTION :
If tanθ =3/4 , find the values of secθ and cosθ

Given :
 tanθ =¾
By using trignometry identity :
1+tan²θ = sec²θ
1 + (¾)² = sec²θ
1 + 9/16 = sec²θ
(16+9)/16 = sec²θ
25/16 = sec²θ
secθ = √ 25/16
secθ = 5/4

cosθ = 1/secθ
cosθ = 1/(5/4)
cosθ = ⅘

Hence, the value of secθ = 5/4 & cosθ = ⅘

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Answer 2

Answer:

Step-by-step explanation:

tanθ =¾

By using trignometry identity :

1+tan²θ = sec²θ

1 + (¾)² = sec²θ

1 + 9/16 = sec²θ

(16+9)/16 = sec²θ

25/16 = sec²θ

secθ = √ 25/16

secθ = 5/4

cosθ = 1/secθ

cosθ = 1/(5/4)

cosθ = ⅘

Hence, the value of secθ = 5/4 & cosθ = ⅘