2sin 6-cos 6-3sin 4-cos 4- is equal toa 0b 1c -1d None of these

The given expression is . Simplifying the given expression, we have nbsp; Therefore, the correct option is (c). ...

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Evaluation of a Determinant

2sin 6θ+cos 6...

Question

2 (sin⁶ θ + cos⁶ θ) − 3 (sin⁴ θ + cos⁴ θ) is equal to

(a) 0
(b) 1
(c) −1
(d) None of these

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Solution

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2 (s i n^{6} θ + c o s^{6} θ) - 3 (s i n^{4} θ + c o s^{4} θ)

2 ({sin}^{6} θ + {cos}^{6} θ) - 3 ({sin}^{4} θ + {cos}^{4} θ) + 1 = 0

2 (s i n^{6} θ + c o s^{6} θ) - 3 (s i n^{4} θ + c o s^{4} θ) + 1 = 0

Use the suitable identity and simplify the given expression. $2 (s i n^{6} θ + c o s^{6} θ) - 3 (s i n^{4} θ + c o s^{4} θ) + 1$

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