Question

(tan 3pi/16)(cot 3pi/16)​

Answer 1

Answer:

1

Step-by-step explanation:

As Cot A = 1/ Tan A

Here A = 3pi/16

Therefore:-

[tan (3pi/16)] × [cot (3pi/16)]

=[tan (3pi/16)] × [ 1 / tan (3pi/16)]

= 1

Answer 2

Given :- (tan 3pi/16)(cot 3pi/16)

Solution :-

→ (tan 3pi/16) * (cot 3pi/16)

we know that,

• cot θ = 1/tan θ

so, here let θ = 3pi / 16

then,

→ cot 3pi / 16 = 1/ tan 3pi / 16

putting this value we get,

→ (tan 3pi / 16) * 1/(tan 1/3pi / 16)

→ 1 * 1

→ 1 (Ans.)

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