Evaluate each of the following:
sin30°/sin45°+tan45°/sec60°-sin60°/cot45°-cos30°/sin90°
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the answer 102.10101 but I'm not sure
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sin30°/sin45°+ tan45°/sec60°- sin60°/cot45°- cos30°/sin90° = (√2 + 1 - 2√3) / 2
Step-by-step explanation:
Evaluate sin30°/sin45°+ tan45°/sec60°- sin60°/cot45°- cos30°/sin90°
sin 30° = 1/2
Sin 45° = 1/√2
Tan 45° = 1 = Cot 45°
Cos 30°= √3/2
cos 60° = 1/2
Sec 60° = 2
sin 60° = √3/2
Sin 90° = 1
So sin30°/sin45°+ tan45°/sec60°- sin60°/cot45°- cos30°/sin90°
= (1/2) / (1/√2) + 1/2 - (√3/2) / 1 - (√3/2) / 1
= √2/2 + 1/2 - √3/2 - √3/2
= √2/2 + 1/2 - √3
= (√2 + 1 - 2√3) / 2
sin30°/sin45°+ tan45°/sec60°- sin60°/cot45°- cos30°/sin90° = (√2 + 1 - 2√3) / 2
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