Question

If sec square tita -tan square tita = 1 then the result of tan square tita is _________​

Answer 1

Given:-

$sec^2\theta-tan^2\theta=1$

To find :-

$tan^2\theta$

SOLUTION:-

As they given

$sec^2\theta-tan^2\theta=1$$Transpose \: \: 1 \: to \:L.H.S \:and\: tan^2\theta \:to\: RHS$

$sec^2\theta-1=tan^2\theta$

$So, tan^2\theta= sec^2\theta-1$

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KNOW MORE :-

Trigonometric Identities

sin²θ + cos²θ = 1

sec²θ - tan²θ = 1

csc²θ - cot²θ = 1

Trigonometric relations

sinθ = 1/cscθ

cosθ = 1 /secθ

tanθ = 1/cotθ

tanθ = sinθ/cosθ

cotθ = cosθ/sinθ

Trigonometric ratios

sinθ = opp/hyp

cosθ = adj/hyp

tanθ = opp/adj

cotθ = adj/opp

cscθ = hyp/opp

secθ = hyp/adj