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What is the Value of (Cos2 67° – Sin2 23°)? - Mathematics

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प्रश्न

What is the value of (cos2 67° – sin2 23°)?

उत्तर

`cos^2 67^@ - sin^2 23^@`

`= cos^2 67^@ - sin^2 (90^@ - 67^@)`

`= cos^2 67^@ - cos^2 (67^@)`    `(∵ sin^2 (90 - theta ) = cos^2 theta)`

= 0

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