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  2. Is cot 4 a is equal to

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

olamagdziak2007 olamagdziak2007    3   14.02.2022 03:50    10

Answers
abdullahs4639 abdullahs4639  14.02.2022 03:50

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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