if tan theta = 1 then find value of sec theta
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Answer:
secθ+tanθ=1/x. By trigonometric identity. ⇒sec2θ−tan2θ=1. ⇒(secθ+tanθ)(secθ−tanθ)=1.
Step-by-step explanation:
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The value of sec θ = √2
Given :
tan θ = 1
To find :
The value of sec θ
Solution :
Step 1 of 2 :
Find the value of θ
tan θ = 1
⇒ tan θ = tan 45°
⇒ θ = 45°
∴ The value of θ = 45°
Step 2 of 2 :
Find the value of sec θ
sec θ
= sec 45°
= √2
Hence the value of sec θ = √2
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