4) Evaluate :
sin 60° - cos 30°/
sec 45°
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=> sin 60° - cos 30° / sec 45
=> We know that,
• sin 60° = {(√3) / 2}
• cos 30° = {(√3) / 2}
• sec 45° = (√2)
=> Putting the values, we get :
=> sin 60° - cos 30° / sec 45°
=> {(√3) / 2} - {(√3) / 2} / (√2)
=> {(√3) / 2} - {(√3) / (2√2)}
=> On solving above equation, you will get the answer.
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Answered by
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Answer:
ANSWER IS :- 1/ROOT2 or sin 45°
Step-by-step explanation:
HERE SIN 60° = ROOT3 /2
COS 30°= ROOT3/2
SEC 45°= ROOT2
THEREFORE, (ROOT3/2 - ROOT3/2) / ROOT2
THAN WE GET , (1/2) / ROOT2
& by (1/2 )/ ROOT2 , WE GET
= ROOT2/2
& AGAIN BY SOLVING ,WE GET
= 1/ROOT2
HENCE ANSWER IS :- 1/ROOT2 or SIN 45°
hope it will help you!
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