Question

if 7sin²+3cos²A=4
then prove that tanA=1/√3​

Answer 1

See the attached image.

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Answer 2

Answer:

sinA2=1-cosA2

7(1-cosA2)+3cosA2=4

7-7cosA2+3cosA2=4

7-4cosA2=4

-4cosA2=- -3

cosA2=3/4

cosA=√3/4

cosA=√3/2

cosA=cos30

A=30

tanA=tan30

tan30=1/√3