If sinthita=2/3 find all trigonometric ratios
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Answer:
If sin thita is 2/3
Then, the sin thita =P/H
So, the perpendicular is 2 and hypotenuse is 3.
Now, we find the base,
By Pythagoras theorem,
(perpendicular) ²+(base) ²=(hypotenuse) ²
(2) ²+(base) ²=(3) ²
4+(base) ²=9
(base) ²=9-4
(base) ²=5
base=√5
all trignometric ratios,
cos thita=B/H
√5/3
tan thita=P/B
2/√5
cosec thita=H/P
3/2
sec thita=H/B
3/√5
cot thita=B/P
√5/2
I hope this will help you.
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