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Mathias Brodala · Answer 1 · 2020-11-12T19:03:55+0000

Answer:

The answer is tan²Ф + 1 = sec²Ф

Explanation:

∵ sin²Ф + cos²Ф = 1 ⇒ ÷ cos²Ф both sides

∴ sin²Ф/cos²Ф + cos²Ф/cos²Ф = 1/cos²Ф

∵ sin²Ф/cos²Ф = tan²Ф

∵ 1/cos²Ф = sec²Ф

∴ tan²Ф + 1 = sec²Ф