Question

7 sin^2 A + 3 cos^2 A = 4.When A is an acute angle, Show that cot A = √3​

Answer 1

Answer:

sin^2A=1-cos^2A

then

7-7cos^A+3cos^2A =4

7-4cos^A=4

4cos^A=3

cos^a=3/4

A=30

then

cot30=√3

hence proved

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