Question

If tanθ= 34 , find the values of sec θ and cos θ​

Answer 1

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ANSWER

tanθ=

4

3

⇒

cosθ

sinθ

=

4

3

⇒4⋅sinθ=3⋅cosθ

⇒4

2

.(1−cos

2

θ)=3

2

cos

2

θ

⇒16−16cos

2

θ=9cos

2

θ

⇒25cos

2

θ=16

⇒cos

2

θ=16/25

⇒cosθ=

16/25

⇒cosθ=4/5

secθ=1/cosθ

=

4/5

∴secθ=

4

5

.

Answer 2

Answer:

Step-by-step explanation:

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