Search This Blog

Trigonometry identities - 2

Trigonometric identity: 1 + tan2(θ) = sec2(θ) 

This trigonometric identity is directly derived from sin2(θ) + cos2(θ) = 1. Consider the trigonometric identity sin2(θ) + cos2(θ) = 1. On dividing this equation by cos2(θ), we get the following equation:


In this equation:
  • "cos2(θ) / cos2(θ)" is equal to 1
  • "sin2(θ) / cos2(θ)" is equal to tan2(θ)
  • "1 / cos2(θ)" is equal to sec2(θ)
Thus the equation becomes,
tan2(θ) + 1 = sec2(θ)
... which is the required identity

No comments:

Post a Comment