Evaluate the value of the given equation 5sin2 x ndash 7sinx cosx 16cos2 x 4 ........

Mathematics (NDA) Trigonometry

Evaluate the value of the given equation 5sin² x – 7sinx cosx + 16cos² x = 4?

nπ+ tan ^-12 , nπ+tan^-14

nπ+ tan ^-13 , nπ+tan^-14

nπ+ tan ^-15 , nπ+tan^-14

3π+ tan ^-13 , nπ+tan^-14

formula sin² x + cos² x = 1

equation 5sin² x – 7sinx cosx + 16cos² x = 4

5sin² x -7sinx cosx+16cos² x =4(sin² x + cos² x)

sin² x -7sinx cosx+12cos² x=0

dividing by cos² x

tan² x -7tanx +12 =0

tanx =3,4

tanx =tan(tan ^-13) or tanx =tan (tan ^-14)

x=nπ+ tan ^-13 or x=nπ+tan^-14

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