Question

1.
If sin A + sin^2 A-1 then the value of the expression cos^2A + cos^4A​

Answer 1

Answer:

cos²A+cos⁴A = 1 , when sinA+sin²A =1

Step-by-step explanation:

I think the question is,

If sinA+sin²A = 1, then find value of cos²A+cos⁴A ?

solution:

given sinA+sin²A = 1

=> sinA = 1 - sin²A

=> sinA = cos²A  ------------ (1)

now take cos²A+cos⁴A

= sinA  + sin²A     ( by (1) )

= 1                         ( assertion )

ie., cos²A+cos⁴A = 1

Answer 2

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sinA+sin ² =1

sinA=1−sin² A

sinA=cos²A

Now,

cos ²A+cos ²A.cos²A

=sinA+sin ²A

=1

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