Question

if tan(20-3a)=cot(5a-20) then find the value of a​

Answer 1

Answer: 45

Step-by-step explanation:

given tan(20-3a)= cot(5a-20)

we know that tan and cot are complementary angles.

=>tanФ=cot(90-Ф)

=>cot(90-{20-3a})=cot(5a-20)

=>cot(90-20+3a)=cot(5a-20)

  =>70+3a=5a-20

  =>2a=90

∴a=45

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