Answers

  • Brainly User
2014-10-28T22:46:06+05:30
SecΦ=x/a tanΦ=y/b hence sec²Φ-tan²Φ=1=(x/a)²-(y/b)² Answer : (x/a)²-(y/b)²=1
1 5 1
2014-10-28T23:28:31+05:30

This Is a Certified Answer

×
Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
A secФ = x
⇒ sec Ф = x/a
b tanФ = y
⇒ tan Ф = y/b

we know that sec²Ф - tan²Ф = 1

 ( \frac{x}{a} )^{2} - (\frac{y}{b} )^{2} =1

 \frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} =1

This is an equation of hyperbola.
0