Question

Secan²x + tan² = Secan⁴x - tan⁴x

Answer 1

Explanation:

In trigonometry:

sec²A = 1 + tan²A → sec²A - tan²A = 1

In question, RHS:

→ sec⁴x - tan⁴x

→ (sec²x)² - (tan²x)²

→ (sec²x - tan²x)(tan²x + sec²x)

→ 1(sec²x + tan²x)

→ sec²x + tan²x

Hence proved.

Answer 2

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