Mathematics, 14.02.2022 03:50 alex7881
Is cot 4 a is equal to tan (a - 20) where 4a is an acute angle find the value of a
Answers: 3
![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}}](/tpl/images/2658/2982/5043d.png)
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Is cot 4 a is equal to tan (a - 20) where 4a is an acute angle find the value of a...
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