Math, asked by nisha1456, 1 year ago

please answer my question guys...

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Answered by siddhartharao77
3

Answer:

1/2

Step-by-step explanation:

Given Equation is sinθ - cosθ = 0.

⇒ sinθ = cosθ

⇒ sinθ/1 = cosθ

⇒ (sinθ)/(cosθ) = 1

⇒ tanθ = 1

⇒ tanθ = tan45

⇒ θ = 45°


Now,

sin⁴θ + cos⁴θ

= (sin 45)⁴ + (cos 45)⁴

= (1/√2)⁴ + (1/√2)⁴

= 1/4 + 1/4

= 2/4

= 1/2


Hope it helps!


Answered by FuturePoet
4
Hello! ❤

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Thanks for asking this !

Hope you will find my answer in the list of brainlest

{Refer to the above attachment with my answer which can help you in understanding the answer at a Glance}

❣ Things to Remember in this Question :

✍ Student should have a good knowledge of trigonometric ratios .

Sin 45° = 1/✓2

Cos 45° = 1/✓2

tan 45° = 1

Sin A/ Cos A = tan A

Note :

Answer :- 1/2

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