Question

CosecA=Sec3A where 0<3A<90
Then tan 2A is how much ?

Answer 1

Answer:

tan2A = 1

Explanation:

Given cosecA = sec3A

=> cosecA = cosec( 90-3A)

=> A = 90 - 3A

=> A + 3A = 90

=> 4A = 90

=> A = 90/4

=> A = 45/2---(1)

Now ,

tan2A

= tan( 2× 45/2) [ from (1)]

= tan 45°

= 1

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