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