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Answer»

Tan35°×Tan55°=Sina......(1)now Tan55°=Tan(90°-35°)=Cot35°And Cot35°=1/tan35°From (1)tan35×tan55=Sina put the value of tan 55tan35×1/tan35=SinaThis shows that 1 = Sinahence Sina =sin 90hence a =90°

tan (35°) tan(55°)

tan (35°) tan(90 - 35°)

tan(35°) cot (35°)

tan(35°) × 1/(tan(35°))

1 So, sin a = 1a = 90°

option (c) is correct



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