If tan + cot = 7, then find the value of tan2 + cot2 .
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Tana + cota =7
take square both sides
(tana + cota)² = 7²
tan²a + cot²a +2tana.cota =49
we Know,
tana =1/cota
so,
tan² a + cot²a +2 = 49
tan²a + cot² a = 49 -2 = 47
take square both sides
(tana + cota)² = 7²
tan²a + cot²a +2tana.cota =49
we Know,
tana =1/cota
so,
tan² a + cot²a +2 = 49
tan²a + cot² a = 49 -2 = 47
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