If sin 2 A -cos 2 A -1 then sin 4 A -cos 4 A will also be equal to 1 - Or sin A - cosA will also be equal to 1 -

No, both sin4A + cos4A and sinA +cosA will not be equal to 1. in the case of sin4A + cos4A it must be less than 1 and in the case of sinA + cos A it must be g ...

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Standard X

Mathematics

Standard Values of Trigonometric Ratios

If sin 2 A +c...

Question

If sin²A + cos²A =1 then sin⁴A + cos⁴A will also be equal to 1. Or sinA +cosA will also be equal to 1.

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Solution

No, both sin⁴A + cos⁴A and sinA +cosA will not be equal to 1.
in the case of sin⁴A + cos⁴A

it must be less than 1
and in the case of sinA + cos A it must be greater than 1

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Similar questions

\frac{sin A + sin 2 A + sin 4 A + sin 5 A}{cos A + cos 2 A + cos 4 A + cos 5 A} =

Q. If

\frac{{cos}^{4} A}{{cos}^{2} B} + \frac{{sin}^{4} A}{{sin}^{2} B} = 1

, then

\frac{{cos}^{4} B}{{cos}^{2} A} + \frac{{sin}^{4} B}{{sin}^{2} A}

is equal to

\frac{c o s 3 A - c o s A}{s i n 3 A - s i n A} + \frac{c o s 2 A - c o s 4 A}{s i n 4 A - s i n 2 A} =

\frac{sin A}{cos 2 A cos 3 A}

. Is it true?If true enter 1 else 0.

Q. If

cos A + {cos}^{2} A = 1,

then the value of

{sin}^{2} A + {sin}^{4} A

is equal to

If $sin A + {sin}^{2} A = 1$ Then, $({cos}^{2} A + {cos}^{4} A) = ?$

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If sin2A + cos2A =1 then sin4A + cos4A will also be equal to 1. Or sinA +cosA will also be equal to 1.

No, both sin4A + cos4A and sinA +cosA will not be equal to 1. in the case of sin4A + cos4A it must be less than 1 and in the case of sinA + cos A it must be greater than 1

If sin²A + cos²A =1 then sin⁴A + cos⁴A will also be equal to 1. Or sinA +cosA will also be equal to 1.

No, both sin⁴A + cos⁴A and sinA +cosA will not be equal to 1.
in the case of sin⁴A + cos⁴A

it must be less than 1
and in the case of sinA + cos A it must be greater than 1