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Answer:
tanβ + 2secβ = 42/15
Step-by-step explanation:
Given:- 17 cosβ = 15
or cosβ = 15/17 = Base/Hypotenuse
⇒ Base = 15 and Hypotenuse = 17
w.k.t., (Hypotenuse)² = (Base)² + (Perpendicular)²
⇒ 17² = 15² + (Perpendicular)²
or (Perpendicular)² = 17² - 15² = 289 - 225 = 64
or Perpendicular = 8
So, tanβ = Perpendicular/Base = 8/15
And, secβ = Hypotenuse/Base = 17/15
⇒ tanβ + 2secβ = (8/15) + 2*(17/15)
or tanβ + 2secβ = (8+34)/15
or tanβ + 2secβ = 42/15
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