Math, asked by sushmasharmaksj, 3 months ago

sin thita - cos thita , find the value of sin^4 thita + cos^4 thita​

Answers

Answered by utcrush18
13

Answer:

Step-by-step explanation:

Given that,

sinA - cosA = 0

⇒ sinA = cosA

⇒ sinA/cosA = 1

⇒ tanA = 1

⇒ tanA = tan45°

⇒ A = 45°

∴ sin⁴A + cos⁴A

= sin⁴45° + cos⁴45°

= (1/√2)⁴ + (1/√2)⁴

= 1/4 + 1/4

= 2/4

= 1/2

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Answered by dhruvpratapsinghh
1

Answer:

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