Question

cos power 4 theta + 2 cos square theta (1-1/sec square theta)?
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Answer 1

Answer:

cos⁴β + 2cos²β (1-1/sec²β) = 1 - sin⁴β

Step-by-step explanation:

I think your question is cos⁴β + 2cos²β (1-1/sec²β) = ?

Let x = cos⁴β + 2cos²β (1-1/sec²β)

x = cos⁴β + 2cos²β (1-cos²β)

x = cos⁴β + 2cos²βsin²β

x = cos²β(cos²β + 2sin²β)

x = cos²β(cos²β + sin²β + sin²β)

x = (1 - sin²β)(1 + sin²β)

x = 1 - sin⁴β

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