Question

जर secθ = `25/7`, तर tanθ ची किंमत काढण्यासाठी खालील कृती पूर्ण करा.

कृती:

1 + tan²θ = sec²θ

∴ 1 + tan²θ = `square`

∴ `tan^2θ = 625/49 - square`

∴ `tan^2θ = (625 - 49)/49`

∴ `tan^2θ = (square/49)`

∴ tanθ = `square`

Answer 1

1 + tan²θ = sec²θ

∴ `1 + tan^2θ = bb((25/7)^2)`

∴ `tan^2θ = 625/49 - bb1`

∴ `tan^2θ = (625 - 49)/49`

∴ `tan^2θ = (bb576/49)`

∴ tanθ = `sqrt(576/49) = bb(24/7)`