I will definitely mark you as BRAINLIEST. First solve this step by step with perfect methord.
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5] Tan2θ = cot( θ + 6° )
=> Tan2θ = cot [90 - (θ - 6) ]
=> 2θ = 84 - θ => 3θ = 84° => θ = 28°
9] Sin2A = cos(A - 36)
=> Sin2A = cos[ 90- ( A - 36) ]
=> sin2A = sin(126 - A)
=> 2A = 126 - A => 3A = 126 => A = 42°
1] (1/√2)^2 + (3 × 2^2/4) - 1/2 + (√3)^2 / (1/2)^2 + (1/2)^2 + (√2)^2/2
= 1/2 + 3 - 1/2 + 3 / 1/4 + 1/4 + 1
= 6/3/2 = 4
( ∵ sin30° = 1/2 , sin45° = 1/√2 , cos60° = 1/2 , sec45° = √2 , Tan60° = √3 , cosec30° = 2 )
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