Chapter: Trigonometry· Mathematics Part 2 (Geometry)
Asked in: July 2024 and March 2026 board papersIf \(\sec\theta = \dfrac{25}{7}\), complete the following activity to find the value of \(\tan\theta\).Activity: We have, \(1 + \tan^2\theta = \sec^2\theta\)\(\therefore 1 + \tan^2\theta = \text{____}\)\…
Asked in: July 2024 and March 2026 board papers
If \(\sec\theta = \dfrac{25}{7}\), complete the following activity to find the value of \(\tan\theta\).
Activity: We have, \(1 + \tan^2\theta = \sec^2\theta\)
\(\therefore 1 + \tan^2\theta = \text{____}\)
\(\therefore \tan^2\theta = \dfrac{625}{49} - \text{____}\)
\(\therefore \tan^2\theta = \dfrac{625 - 49}{49}\)
\(\therefore \tan^2\theta = \dfrac{\text{____}}{49}\)
\(\therefore \tan\theta = \text{____}\)