Question
If secĀ²x + cscĀ²x = 10, find the value of tanĀ²x +
cotĀ²x.Solution
Using the identities secĀ²x = 1 + tanĀ²x and cscĀ²x = 1 + cotĀ²x,Ā substitute: (1 + tanĀ²x) + (1 + cotĀ²x) = 10. Simplify: 2 + tanĀ²x + cotĀ²x = 10. tanĀ²x + cotĀ²x = 8. Correct answer: d
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