Question

If sin theta + sin square theta =1 than find the value of cos square + cos power 4 theta

Answer 1

Answer:

than find the value of cos square + cos power 4 theta

Answer 2

Given that,

sin²∅ + sin∅ = 1

To prove :- cos²∅ + cos⁴∅ = 1

Proof :-

Here we are given

sin²∅ + sin∅ = 1

But we know that sin²∅ + cos²∅ = 1

So we can equate them

=> sin²∅ + sin∅ = sin²∅ + cos²∅

=> sin∅ = sin²∅ + cos²∅ - sin²∅

=> sin∅ = cos²∅

Now we know that, cos²∅ = sin∅