Advertisement Remove all ads

If Sec θ + Tan θ = X, Write the Value of Sec θ − Tan θ in Terms of X. - Mathematics

Answer in Brief

If sec θ + tan θ = x, write the value of sec θ − tan θ in terms of x.

Advertisement Remove all ads

Solution

Given:` secθ+tanθ=x` 

We know that, 

`Sec^2θ-tan^2θ=1` 

Therefore, 

`sec^2 θ-tan^2θ=1` 

⇒` (Secθ+tan θ) (Secθ-tan θ)=1` 

⇒` x (secθ-tan θ )=1` 

⇒ `(sec θ-tan θ)=1/x` 

Hence, `sec θ-tan θ=1/4`

  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

RD Sharma Class 10 Maths
Chapter 11 Trigonometric Identities
Q 5 | Page 55
Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×