if √3sin ∅=cos∅ find the value of 3 cos²∅+2cos∅/3cos∅+2 in terms of sin ∅+2 only
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Answer:
Given
3
sinθ=cosθ
cosθ
sinθ
=
3
1
tanθ=
3
1
θ=30
∘
sinθ+cosθ
sinθtanθ(1+cosθ)
=
sin30
o
cos30
o
sin30
o
tan30
o
(1+cos30
o
)
=
2
1
+
2
3
2
1
×
3
1
(1+
2
3
)
=
2
3
+1
2
3
1
×
2
2+
3
=
2(1+
3
)
2+
3
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