Question

if tan theda=a/b then the value of cos theda +sin theda/cos theda-sin theda​

Answer 1

Answer:

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If tanθ=

b

a

,find the value of

cosθ−sinθ

cosθ+sinθ

Medium

Solution

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tanθ=

cosθ

sinθ

=

b

a

⇒sinθ=

b

acosθ

Substituting in

cosθ−sinθ

cosθ+sinθ

we get

=

cosθ−

b

acosθ

cosθ+

b

acosθ

=

b

bcosθ−acosθ

b

bcosθ+acosθ

=

(b−a)cosθ

(b+a)cosθ

=

b−a

a+b

Answer 2

Step-by-step explanation:

May be this can help you..,