Question

if tan theta =a/x
find value of cos theta​

Answer 1

Answer:

Correct option is

A

cosθ

We have,

tanθ=

x

a

Since,

a

2

+x

2

x

⇒

a

2

+(

tanθ

a

)

2

tanθ

a

⇒

a

2

+

tan

2

θ

a

2

tanθ

a

⇒

a

tan

2

θ

1+tan

2

θ

tanθ

a

⇒

tan

2

θ

1+tan

2

θ

tanθ

1

⇒

sec

2

θ

1

⇒

secθ

1

⇒cosθ

Hence, this is the answer.

Step-by-step explanation:

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Answer 2

Answer:

tanθ=

x

a

Since,

a

2

+x

2

x

⇒

a

2

+(

tanθ

a

)

2

tanθ

a

⇒

a

2

+

tan

2

θ

a

2

tanθ

a

⇒

a

tan

2

θ

1+tan

2

θ

tanθ

a

⇒

tan

2

θ

1+tan

2

θ

tanθ

1

⇒

sec

2

θ

1

⇒

secθ

1

⇒cosθ