Choose all of the equivalent ratios for 64:80 8:12 32:40 4:5 16:24 120:160
2 answers:
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First, lets note that 
. This leads us with the following problem:
Lets add sin on both sides, and we get:
Now if we divide with sin on both sides we get:
Now we can remember how cot is defined, it is (cos/sin). So we have:
Now take the inverse of cot and we get:
In general we have
, the reason we have to add pi times n, is because it is a function that has multiple answers, see the picture:
Lets add sin on both sides, and we get:
Now if we divide with sin on both sides we get:
Now we can remember how cot is defined, it is (cos/sin). So we have:
Now take the inverse of cot and we get:
In general we have
Answer:
Step-by-step explanation:
Distribute 3 through the parentheses
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Collect like terms : 12x and x
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Distribute 3 through the parentheses
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Move 15x to left hand side and change it's sign
Similarly, move 45 to right hand side and change it's sign
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Collect like terms
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Calculate
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Divide both sides of the equation by 24
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Calculate
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Hope I helped!
Best regards! :D