Question

Calcule sec²α+csc²α si se sabe que
4tanα–6=0. Considere 0 < a < 90°.



Ayudaaaaaaa

Answer 1

Respuesta:

91/12

Explicación paso a paso:

4tanα–6=0

4tanα = 6

tanα = 6/4

tanα = 3/2

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Hipotenusa: H

3² + 2² = H²

9  + 4 = H²

13 = H²

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sec²α + csc²α = (H / 2 )² + ( H/3)² =  (H²/4) + (H²/3) = 13/4  + 13/3 = ( 3(13) + 4(13) ) / ((4)(3)) = ( 39 + 52 ) / 12 = 91/12