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A class is asked: if sin A - cos $A = 0$ for an acute angle A, what is the value of si $n^{4}$ A + co $s^{4}$ A?

Class 10Trigonometric IdentitiesTrigonometry

A $\frac{1}{2}$
B1
C $\frac{1}{4}$
D2

Step-by-Step Solution

sin

A

= cos A means

A = 45

deg, so sin

A

= cos

A = \frac{1}{2}

, and si

n^{4} A

= co

s^{4} A = \frac{1}{4}

. Sum =

\frac{1}{4} + \frac{1}{4} = \frac{1}{2}

.

Answer: A)

\frac{1}{2}

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