evaluate: 2✓2 cos 45° cos 60° + 2✓3 cos 60° cot 30° - sin 90° sec 0°
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Step-by-step explanation:
Given
2√2 cos 45° cos 60° + 2√3 cos 60° cot 30° - sin 90° sec 0°
= 2√2 × 1/√2 × 1/2 + 2√3 × 1/2 × 1/√3 - 1 × 1
= √2 and √2 are cancelled
= (2 × 1 × 1/2 )+ ( 2 ×1 ×1/ √3 × 2× √3) - 1
= 2 and 2 are cancelled
= ( 1 × 1 × 1 ) + (2 / √3^2 × 2) -1
= 1 + numerator 2 and denominator 2 are cancelled then 3 - 1
= 1 + 3 - 1
= 3 is the answer
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