Question

a sin square X+b cos squareX=C,then tan squareX =?​

Answer 1

Step-by-step explanation:

asin²x+bcos²x=c

asin²x+b(1-sin²x)=c

(a-b)sin²x+b=c

(a-b)sin²x=c-b

sin²x=(c-b)/(a-b)

asin²x+bcos²x=c

a(1-cos²x)+bcos²x=c

(b-a)cos²x+a=c

(b-a)cos²x=c-a

Multiply minus on both sides

(a-b)cos²x=a-c

cos²x=(a-c)/(a-b)

tan²x=sin²x/cos²x

tan²x=(c-b)/(a-c)