Question

Prove that :

4 − 4 /
2 −2 =1.​

Answer 1

No it is not correct.

Answer 2

To Prove:-

• $\Large{\sf{\frac{sin⁴\theta-cos⁴\theta}{sin²\theta-cos²\theta} = 1}}$

Solution:-

$→\;\Large{\sf{\frac{sin⁴\theta-cos⁴\theta}{sin²\theta-cos²\theta}}}$

• a²-b² = (a+b)(a-b)

$→\;\Large{\sf{\frac{(sin²\theta+cos²\theta)(sin²\theta-cos²\theta)}{sin²\theta-cos²\theta}}}$

$→\;\Large{\sf{\frac{(sin²\theta+cos²\theta)\cancel{(sin²\theta-cos²\theta)}}{\cancel{sin²\theta-cos²\theta}}}}$

$→\;\Large{\sf{sin²\theta+cos²\theta}}$

• sin²θ+cos²θ = 1

$☞\;\huge{\red{\bf{1}}}$

$\Large{✓}$

Hope It Helps You ✌️