Question

If 5 tano = 4, then find the value of seca using suitable identity.​

Answer 1

Answer:

1

1

1

1 Given5tanθ=4 or

or cosθ

or cosθsinθ = 4

5

∴sinθ= 5cosθ

Thegiventrigonometricexpressionis→

Thegiventrigonometricexpressionis→5sinθ+2cosθ

Thegiventrigonometricexpressionis→5sinθ+2cosθ5sinθ−3cosθ

Thegiventrigonometricexpressionis→5sinθ+2cosθ5sinθ−3cosθ

Thegiventrigonometricexpressionis→5sinθ+2cosθ5sinθ−3cosθ

Thegiventrigonometricexpressionis→5sinθ+2cosθ5sinθ−3cosθ (Substitutingsinθ= 4

4 5

cosθ) =

= 5× 4

5

cosθ+2cosθ

cosθ+2cosθ5× 54

cosθ+2cosθ5× 54

cosθ+2cosθ5× 54 cosθ−3cosθ

4+2

=4−3

4−3

4−3 = 1

6

Step-by-step explanation:

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