if sin⁴x /3 + cos⁴ x/4 = 1/7, then the value of sec²x /3 + cosec²x/4 is
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7sin
2
θ+3cos
2
θ=4
⇒7sin
2
θ+3(1−sin
2
θ)=4
⇒7sin
2
θ+3−3sin
2
θ=4
⇒4sin
2
θ=1
⇒sin
2
θ=
4
1
⇒sinθ=
2
1
⇒sinθ=sin30
∘
⇒θ=30
∘
L.H.S =secθ+cosecθ
=sec30
∘
+cosec30
∘
=
3
2
+2
= R.H.S
2
θ+3cos
2
θ=4
⇒7sin
2
θ+3(1−sin
2
θ)=4
⇒7sin
2
θ+3−3sin
2
θ=4
⇒4sin
2
θ=1
⇒sin
2
θ=
4
1
⇒sinθ=
2
1
⇒sinθ=sin30
∘
⇒θ=30
∘
L.H.S =secθ+cosecθ
=sec30
∘
+cosec30
∘
=
3
2
+2
= R.H.S
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Answer:
No. 1 There is no need to have a Vidhan Parishad ( Legislative Council) Speak any four /points in the favour and against the statement.
Q No 2:- Governor should be given more powers in the state . Speak four points in the favour and against the Statement.
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