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Rus_ich [418]
3 years ago
14

Is cot 4 a is equal to tan (a - 20) where 4a is an acute angle find the value of a​

Mathematics
1 answer:
loris [4]3 years ago
3 0

Answer:

a = 22

Step-by-step explanation:

cot \: 4a = tan \: (a - 20)....(given) \\  \\  \implies \: tan(90 - 4a) = tan \: (a - 20) \\  [\because \: cot \theta = tan(90 \degree -  \theta) ]\\  \\ \implies (90 - 4a) = tan(a - 20) \\ \\  \implies \: 90  + 20 = 4a + a \\  \\\implies \:  110 = 5a \\  \\ \implies \: a =  \frac{110}{5}  \\  \\ \huge \red{ \boxed{\implies \:  a = 22}}

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Read 2 more answers
15.5 rounded to the nearest tenth
Degger [83]
<span>The tenths place is to the right of the decimal point.</span>
In order to round u number to the nearest tenth, you should <span>to the right of the tenths place. Depending on this number you should determine if you will round up or stay the same (if it is bigger than 5 you will round up, if not it will stay the same).
In our case, the number is 15.5 so it is already rounded to the nearest tenth.

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3 years ago
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