Math, asked by sri99833, 11 months ago

If cosA + cos square A =1 then the value of sin square A + sin power 4 A =

Answers

Answered by rishu6845

Answer:

Step-by-step explanation:

Given---> CosA + Cos²A = 1

To find ---> Sin²A + Sin⁴A = ?

Solution---> ATQ ,

CosA + Cos²A = 1

=> CosA = 1 - Cos²A

Putting , 1 = Sin²A + Cos²A , We get

=> CosA = Sin²A + Cos²A - Cos²A

=> CosA = Sin²A

Now, returning to original problem

Sin²A + Sin⁴A = ( Sin²A ) + ( sin²A )²

= CosA + ( CosA )²

= CosA + Cos²A

Putting , CosA + Cos²A = 1 , we get

Sin²A + Sin⁴A = 1

Additional information--->

(1) 1 + tan²θ = Sec²θ

(2) tan²θ = Sec²θ - 1

(3) Sec²θ - tan²θ = 1

(4) 1 + Cot²θ = Cosec²θ

(5) Cot²θ = Cosec²θ - 1

(6) Cosec²θ - cot²θ = 1

Answered by Aɾꜱɦ

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