If 5 tan²∅ - 5 tan∅ - 1 = 0, find the value of 5 tan∅ - cot∅
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Answer:
This is a very simple question of trigonometry. Let theta = ∅
Step-by-step explanation:
It is given that tan∅ + cot∅ = 5
On squaring the above equation, we get tan²∅ + cot²∅ + 2 tan∅.cot∅ = 5²
tan²∅ + cot²∅ + 2 = 25 ( tan∅.cot∅ = tan∅.(1/tan∅) = 1)
Therefore, tan²∅ + cot²∅ = 23.
Hence, the value of tan²∅ + cot ²∅ = 23
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