If sec (θ + 45) ° = √8/2 then find then calculate of tan θ?

1.	If sec (θ + 45) ° = √8/2 then find then calculate of tan θ?
Answer» Correct Answer - Option 1 : 0 Given: It is given that sec (θ + 45) ° = √8/2 Formula Used: Basic concept of trigonometric ratio and identities We know that Sec 45° = √2 and tan 0° = 0 Calculation: We can simplifies the given expression ∴ Sec (θ + 45) ° = 2√2/2 ⇒ Sec (θ + 45) ° = √2 ⇒ Sec (θ + 45) ° = Sec 45° ⇒ (θ + 45) ° = 45° ⇒ θ = 0° Now, we have to find tan θ ∴ tan0° = 0 Hence, option (1) is correct

Answer» Correct Answer - Option 1 : 0

Given:

It is given that sec (θ + 45) ° = √8/2

Formula Used:

Basic concept of trigonometric ratio and identities

We know that

Sec 45° = √2 and tan 0° = 0

Calculation:

We can simplifies the given expression

∴ Sec (θ + 45) ° = 2√2/2

⇒ Sec (θ + 45) ° = √2

⇒ Sec (θ + 45) ° = Sec 45°

⇒ (θ + 45) ° = 45°

⇒ θ = 0°

Now, we have to find tan θ

∴ tan0° = 0

Hence, option (1) is correct

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