Question

 If tan θ = 1 then sec θ × cosec θ = ? *

A. √2

B. 2

C. √3

D. 3

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Answer 1

Answer:

Option A. √2

Hope it helps you

Answer 2

Answer:

Sec θ × Cosec θ = 2

Step-by-step explanation:

We know that,

Tan θ = 1

also,

Tan 45° = 1

Thus,

Tan θ = Tan 45°

∴ θ = 45°

Now,

Sec θ = 1/cos θ

So,

Sec 45° = 1/Cos 45°

Sec 45° = 1/(1/√2)

Sec 45° = √2

also,

Cosec θ = 1/sin θ

So,

Cosec 45° = 1/sin 45°

Cosec 45° = 1/(1/√2)

Cosec 45° = √2

Thus,

Sec θ × Cosec θ = Sec 45° × Cosec 45°

= √2 × √2

= 2

Hence,

Sec θ × Cosec θ = 2

Hope it helped and you understood it........All the best