Question

sin⁴theta-cos⁴theta
solve this problem fast please
yar please don't
wrong answer​

Answer 1

Answer:

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Answer 2

★GIVEN:-

$\implies \: \sin {}^{4} \theta - \cos {}^{4} \theta$

★find:-

• Given quantity value

★SOLUTION:-

$\implies \: \sin {}^{4} \theta - \cos {}^{4} \theta$

can we be written as

$\implies \: (\sin {}^{2}) {}^{2} \theta - ( \cos {}^{2} ) {}^{2} \theta$

we know that formula of

$\implies \star \pink{a {}^{2} - b {}^{2} = (a + b) (a - b)}$

$\implies \: ( \sin {}^{2} \theta + \cos {}^{2} \theta )(\sin {}^{2} \theta - \cos {}^{2} \theta )$

we know that formula of

$\implies \star \pink{ \sin {}^{2} \theta + \cos {}^{2} \theta = 1 } \\ \\ \implies \star \pink{ \cos {}^{2} \theta = 1 - \sin {}^{2} \theta }$

$\implies \: (1)( \sin {}^{2} \theta - (1 - \sin {}^{2} \theta)$

$\implies \: ( \sin {}^{2} \theta - 1 + \sin {}^{2} \theta) \\ \\ \implies \: 2 \sin {}^{2} \theta - 1$

• $\star\pink{cos2\theta}$

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