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Mathematics

Without using trigonometric tables, prove that:

sin2 28° - cos2 62° = 0

Trigonometrical Ratios

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Answer

To prove,

sin2 28° - cos2 62° = 0.

Solving, L.H.S. of the equation.

sin2 28° - cos2 62°

= sin2 28° - cos2 (90° - 28°)

= sin2 28° - sin2 28°

= 0.

Since, L.H.S. = R.H.S.

Hence, proved that sin2 28° - cos2 62° = 0.

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