मराठी

Sin6 a + Cos6 a + 3 Sin2 a Cos2 a =

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प्रश्न

sin6 A + cos6 A + 3 sin2 A cos2 A =

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उत्तर

1
We have: 
\[ \sin^6 A + \cos^6 A + 3\left( \sin^2 A \right) \left( \cos^2 A \right)\]
\[ = \left( \sin^2 A \right)^3 + \left( \cos^2 A \right)^3 + 3\left( \sin^2 A \right) \left( \cos^2 A \right) \times 1\]
\[ = \left( \sin^2 A \right)^3 + \left( \cos^2 A \right)^3 + 3\left( \sin^2 A \right) \left( \cos^2 A \right)\left( \sin^2 A + \cos^2 A \right)\]
\[ = \left( \sin^2 A + \cos^2 A \right)^3 \]
\[ = 1^3 = 1\]

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पाठ 5: Trigonometric Functions - Exercise 5.5 [पृष्ठ ४२]

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आर.डी. शर्मा Mathematics [English] Class 11
पाठ 5 Trigonometric Functions
Exercise 5.5 | Q 11 | पृष्ठ ४२

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