Question

If secθ = 20/16 than find the value of sinθ + tanθ 
1. 19/20
2. 20/17
3. 27/20
4. 23/20

Answer 1

Correct Answer - Option 3 : 27/20

Given:

secθ = 20/16

Concept used:

sinθ = opposite/hypotenuse

Tanθ = opposite/adjacent 

Calculation:

⇒ secθ = 20/16

⇒ tanθ = 12/16,  sinθ = 12/20

⇒ tanθ = 3/4,  sinθ = 3/5

⇒ sinθ + tanθ 

⇒ (3/5) + (3/4)

⇒ 27/20

∴ The value of sinθ + tanθ is 27/20.