question 4 (5 points)\nfind ( 6 sin 30 ^ { 0 } + 7 \tan 45 ^ { 0 } - 4 cos 60 ^ { 0 } )\n1\n8\n7\n( 10 - 2…
question 4 (5 points)\nfind ( 6 sin 30 ^ { 0 } + 7 \tan 45 ^ { 0 } - 4 cos 60 ^ { 0 } )\n1\n8\n7\n( 10 - 2 sqrt { 3 } )
Answer
Explanation:
Step1: Substitute trigonometric values
We know that (\sin30^{\circ}=\frac{1}{2}), (\tan45^{\circ} = 1), (\cos60^{\circ}=\frac{1}{2}). Substitute these values into the expression (6\sin30^{\circ}+7\tan45^{\circ}-4\cos60^{\circ}): (6\times\frac{1}{2}+7\times1 - 4\times\frac{1}{2})
Step2: Perform multiplications
Calculate each product: (6\times\frac{1}{2}=3), (7\times1 = 7), (4\times\frac{1}{2}=2) The expression becomes (3 + 7-2)
Step3: Perform additions and subtractions
First, (3+7=10), then (10 - 2=8)
Answer:
8