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sin square theta plus cos square theta is equal to 1
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7sin² B + 3 cos²B = 4( sin²B+ cos²B)
4sin² B + 3sin² B + 3 cos²B = 4( sin²B+ cos²B)
4sin² B + 3 = 4 {reason: sin²B + cos²B = 1}
4sin²B = 1
sin² B = 1/4
now:
sin²B + cos²B = 1
1/4 + cos²B = 1
cos²B = 1 - 1/4 = 3/4
therefore:
cot²B = cos²B/sin²B
cot²B = (3/4)/ (1/4)
cot²B = 3
therefore, cotB = √3
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