Math, asked by hassanjalvi626, 3 months ago

(6) cos⁴q-sin⁴q = ? what is value​

Answers

Answered by ramananaik9999
0

Answer:

cos2q

Step-by-step explanation:

The given expression can be written as

  1. (cosq²)²-(sinq²)²
  2. a²-b²=(a+b)(a-b) we know this apply this in step 1
  3. that is (cosq²)²-(sinq²)²=(cos²q+sin²q)(cos²q-sin²q)
  4. =1(cos²q-sin²q). { Since by using identity cos²q+sin²q=1}
  5. =cos2q. {because cos2q=cos²q-sin²q we have this formulae too}
  6. hence cos2q is answer for the Question

I hope it's CLEAR ✌️

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