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Complementary Trigonometric Ratios

If sin A + ...

Question

If $sin A + {sin}^{2} A = 1$ , then the value of the expression $({cos}^{2} A + {cos}^{4} A)$ is

1

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\frac{1}{2}

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2

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3

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Solution

The correct option is D $1$
$s i n A + s i n^{2} = 1$
$s i n A = 1 - s i n^{2} A$
$s i n A = c o s^{2} A$
Now
$c o s^{2} A + c o s^{2} A . c o s^{2} A$
$= s i n A + s i n^{2} A$
$= 1$ ...(given)

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Similar questions

s i n A + s i n^{2} A = 1

(c o s^{2} A + c o s^{4} A)

1

\frac{1}{2}

2

3

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

sin A + {sin}^{2} A = 1

{cos}^{2} A + {cos}^{4} A = 1

sin A + cos 2 A = 1 / 2

cos A + sin 2 A = 1 / 3,

sin 3 A

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