tan30°+cot30°×sin45°×cos45°
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Given : tan30°+cot30°×sin45°×cos45°
To Find : Value
Solution:
tan30°+cot30°×sin45°×cos45°
tan30° = 1/√3
cot30° = √3
sin45° = 1/√2
cos45° = 1/√2
= 1/√3 + √3 * (1/√2) * (1/√2)
= √3 /3 + √3/2
= ( 2√3 + 3√3) /6
= 5√3 /6
tan30°+cot30°×sin45°×cos45° = 5√3 /6
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