Question

If 4sin2 theta+4cosec2 theta=17 , then the value of tan theta is -​

Answer 1

Answer:

3

Let y=(4sin

2

θ+12cosec

2

θ−13)

=4[sin

2

θ+cosec

2

θ]+8cosec

2

θ−13

=4[(sinθ−cosecθ)

2

+2]+8cosec

2

θ−13

=4(sinθ−cosecθ)

2

+8cosec

2

θ−5

⇒ minimum value will appear if sinθ=1

∴y

min

=8−5=3

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