1.

. Evaluate the following:sin22s + sin'6s+3tan5' tan15' tan30 tan75 tan8s") (2)

Answer»

Sin²25° + Sin²65° + √3 ( Tan5° × Tan15° × Tan30° × Tan75° × Tan85° ) .

Sin²(90-65° ) + Sin²65° + √3 ( Tan5° × Tan85° × Tan15° × Tan75° × Tan30° ).

Cos² 65° + Sin²65° + √3 ( Tan5° × Tan(90-5°) * Tan15° × Tan(90-15°) * Tan 30° ).

Sin²65° + Cos²65° + √3 ( Tan 5° × Cot5° * Tan15° × Cot15° * 1/√3 ).

Sin²65° + Cos²65° + √3 ( Tan5° × 1/Tan5° * Tan15° × 1/Tan15° × 1/√3 ).

1 + √3 ( 1 * 1 * 1/√3 )

1 + √3 ( 1/√3 )

1 + √3 × 1/√3

1 + 1

2

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