Question

If 7 sinA + 24 cosA =25,find the value of tanA

Answer 1

Answer:

7/24

Step-by-step explanation:

7 sin A + 24 cosA = 25 divide all the terms with cosA we get

7tanA +24 = 25 secA =>

(7tanA + 24)^2 = 625 sec^2 A

49 tan^2 A + 336tanA + 576 = 625(1+tan^2 A)

(625–49)tan^2 A - 336 tan A + (625–576) =0

576tan^ A - 336 tan A + 49 =0

=> (24tanA -7)^2 = 0 => 24tanA - 7 =0

=> tanA = 7/24.

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