Find the acute angle theta satisfying the equation sec square theta+tan square theta=3
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sec²θ+tan²θ=3
or, 1+tan²θ+tan²θ=3 [∵, sec²θ-tan²θ=1]
or, 2tan²θ=3-1
or, 2tan²θ=2
or, tan²θ=1
or, tanθ=1 [neglecting the negative sign as θ is an acute angle]
or, tanθ=tan45°
or, θ=45°
or, 1+tan²θ+tan²θ=3 [∵, sec²θ-tan²θ=1]
or, 2tan²θ=3-1
or, 2tan²θ=2
or, tan²θ=1
or, tanθ=1 [neglecting the negative sign as θ is an acute angle]
or, tanθ=tan45°
or, θ=45°
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