if cot theta =1/2 and sin theta =1/2 the value of theta +theta is
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Step-by-step explanation:
Given function: cot θ=2
Draw a right △ABC,∠C=90 degrees and ∠=θ
We know that cotθ=
BC
AC
=
perpendicular
base
=
1
2
By pythagoras.Theorem
AB
2
=BC
2
+AC
2
AB
2
=K
2
+4k
2
AB
2
=5k
2
AB=K√5
Find other T-rations using their definations:
sinθ=
AB
BC
=
(k√5)
k
=
√5
1
cosθ=
AB
AC
=
(k√5)
(2k)
=
√5
2
tanθ=
AC
BC
=
costheta
sinθ
=
(2k)
k
=
2
1
cscθ=
sinθ
1
=√5
secθ=
cosθ
1
=
2
√5
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