Math, asked by ridamraj2june2020, 9 months ago

9sinA+16cosA=25,find tanA

Answers

Answered by Anonymous

6

Answer:

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7 Sin A + 24 Cos A = 25 ......(1)

r = √ ( 7 ² + 24 ² ) = √ ( 625 ) = 25

Divide equation (1) by 25 both sides,

( 7 / 25 ) Sin A + ( 24 / 25 ) Cos A = 1 .....(2)

Take 7 / 25 = Sinα , 24 / 25 = Cosα

cot α = cos α / sin α = 24 / 7

Cot α = 24 / 7

(2) becomes,

Sin α Sin A + Cos α Cos A = 1

Cos ( α + A ) = 1

Cos ( α +A ) = Cos 90⁰

α + A = 90⁰

A = 90 - α

tan A = tan ( 90 - α )

tan A = Cot α = 24 / 7

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Answered by rahul19754

0

Answer:

tanA=1

Step-by-step explanation:

9sinA+16cosA=25

=>9sinA+16cosA= 9+16

comparing both side...

sinA=1, cosA=1

==> tanA=1

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