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dusya [7]
3 years ago
8

If tanx-cotx=5 then what is the value of tan²x+cot²x​

Mathematics
1 answer:
Roman55 [17]3 years ago
4 0

Answer:

27

Step-by-step explanation:

note that tanx cotx = tanx × \frac{1}{tanx} = 1

Given

tanx - cotx = 5 ( square both sides )

(tanx - cotx)² = 5² = 25 ← expand left side using FOIL

tan²x - 2tanxcotx + cot²x = 25

tan²x - 2 + cot²x = 25 ( add 2 to both sides )

tan²x + cot²x = 27

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