Question

जर tan θ = ${\displaystyle \frac{7}{24}}$, तर cos θ ची किंमत काढण्यासाठी खालील कृती पूर्ण करा.

कृती: sec²θ = 1 + ${\displaystyle \square }$    ......[त्रि. नित्य समीकरण]

sec²θ = 1 + ${\displaystyle {\square }^2}$

sec²θ = 1 + ${\displaystyle \frac{\square }{576}}$

sec²θ = ${\displaystyle \frac{\square }{576}}$

sec θ = ${\displaystyle \square }$ 

cos θ = ${\displaystyle \square }$     .......${\displaystyle [\cos \theta =\frac{1}{\sec \theta }]}$

Answer 1

sec²θ = 1 + tan²θ    ......[त्रि. नित्य समीकरण]

∴ sec²θ = 1 + ${\displaystyle {\underline{\left(\frac{7}{24}\right)}}^2}$

∴ sec²θ = 1 + ${\displaystyle \frac{\underline{49}}{576}}$

∴ sec²θ =${\displaystyle \frac{576+49}{576}}$

∴ sec²θ = ${\displaystyle \frac{\underline{625}}{576}}$ 

∴ sec θ = ${\displaystyle \underline{\frac{25}{24}}}$

∴ cos θ = ${\displaystyle \underline{\frac{24}{25}}}$     .......${\displaystyle [\cos \theta =\frac{1}{\sec \theta }]}$