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If sin thita - cos thita …

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If sin thita - cos thita = 0 , then the value of (sin4 thita + cos4 thita) is........... ???????????????????

Posted by ~ Nandini ?? 6 years, 2 months ago

CBSE > Class 10 > Mathematics

15 answers

Aadya Singh ? 6 years, 2 months ago

My pleasure..?

Sahil ???? 6 years, 2 months ago

Ya i got it.Thanks Aadya.

Aadya Singh ? 6 years, 2 months ago

I hope sahil now you can understand it...?

Aadya Singh ? 6 years, 2 months ago

Sin thita - cos thita = 0 => sin thita = cos thita => sin thita/cos thita = 1 ( by Dividing cos thita on both sides) => tan thita = 1 .....(1) , But tan 45 = 1 ......(2) . From (1) and (2) , we get, thita = 45.....(3) . We know, sin 45 = 1/√2 and cos 45 = 1/√2 . Then, sin^4 thita + cos^4 thita => sin^4 × 45 + cos^4× 45 ( by putting the value of thita from (3) ) => (1/√2)^4 + ( 1/√2)^4 => 1/4+1/4 => 2/4 => 1/2 .

Sahil ???? 6 years, 2 months ago

Plzz expain it.

~ Nandini ?? 6 years, 2 months ago

Should I tell u in brief or u don't want to understand this question???

Sahil ???? 6 years, 2 months ago

I do not get that?

~ Nandini ?? 6 years, 2 months ago

Sin thita = cos thita ..... =} 0 = 45 ...... 0 ( thita).... So, ans is 1/2.........i got it

~ Nandini ?? 6 years, 2 months ago

No Sahil

Sahil ???? 6 years, 2 months ago

2sin^2thitacos^2thita is the answer.

~ Nandini ?? 6 years, 2 months ago

Right Aadya... ?

Aadya Singh ? 6 years, 2 months ago

1/2

~ Nandini ?? 6 years, 2 months ago

In this quest option is also there... According to options it's not the correct answer

~ Nandini ?? 6 years, 2 months ago

No Sanjay. U r wrong

Nishtha Rao 6 years, 2 months ago

Answer is 2cos4thita

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