if cosA +cos^2 = 1 then find sin^2 + sin^4
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Answered by
6
We are given thag cosA + cos²A = 1.
On solving this equation,
→ cosA + cos²A = 1
→ cosA + 1 - sin²A = 1
→ cosA = sin²A
Now, we have to find sin²A + sin⁴A.
→ sin²A + sin⁴A
→ sin²A + (sin²A)²
By replacing values,
→ cosA + (cosA)²
→ cosA + cos²A = 1 [As per given]
Hence value of sin²A + sin⁴A is 1.
Answered by
2
हमें थग cosA + cos²A = 1 दिया जाता है।
इस समीकरण को हल करने पर,
= cosA + cos [cosA] = 1
= cosA + 1 - sin²A = 1
= कोसा = पाप cos
अब, हमें sin²A + sin weA खोजना होगा।
= sin =) A + sin⁴A
= sin =) A + (sin²A) (
मान बदलकर,
= cosA + (cosA) cos
= cosA + cos cosA = 1 [दिए गए अनुसार]
इसलिए sin +A + sin⁴A का मूल्य 1 है।
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