Question

If sin o + sin^2
o=1, then evaluate cos^2 + cos^4Q​

Answer 1

Answer:-

(Theta is taken as "A").

Given:

Sin A + Sin² A = 1 -- equation (1)

→ Sin A = 1 - Sin² A

We know that,

Sin² A + Cos² A = 1

→ Cos² A = 1 - Sin² A.

Hence,

→ Sin A = Cos² A

We have to find: Cos² A + Cos⁴ A

→ Cos² A + (Cos²)² A

Putting the value of Cos² A we get,

→ Sin A + Sin² A

As we know,

Sin A + Sin² A = 1.

Hence, the value of Cos² A + Cos⁴ A = 1.

Answer 2

Answer:

given

sin∅ + sin ²∅ =1

=> sin∅ = 1 - sin²∅

=> sin∅ = cos²∅ ( since, sin²∅ + cos²∅ = 1)

on squaring both sides

sin²∅ = cos⁴∅

=> 1 - cos²∅ = cos⁴∅

=> 1 = cos²∅ + cos⁴∅

or,

cos²∅ + cos⁴∅ = 1.

hence proved

Step-by-step explanation:

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