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Evaluate 4 si 60° + 3 ta 30° - 2 co 45°.

Class 10Trigonometric Ratios of Standard AnglesTrigonometry
  • A2
  • B4
  • C3
  • D5

Step-by-Step Solution

Substitute the standard values one term at a time. sin 60° = √(3)/2, so si 60 = 3/4 and . tan 30° = 1/√(3), so ta 30 = 1/3 and . cos 45° = 1/√(2), so co 45 = 1/2 and . The expression is 3 + 1 - 1 = 3. The trap 2 comes from using si 60 = 1/2 (that is co 60 or si 45, not si 60). The trap 4 drops the last term, treating co 45 as 0. The trap 5 uses ta 30 = 1, which is ta.
Answer: C) 3

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