Given that x is an acute angle and cos x= 3/5. Find tan (90 - x) without using tables or a calculator
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Answer:
3/4
Step-by-step explanation:
Given cos x =3/5
We know that tan(90-x)=cot x
by Pythagoras theorem hyp2 = opp2 + adj2
5^2 = opp2 +3^2
25-9= opp2
opp2 =16
opp =√16
opp= 4
We know that cot x= adj/opp
cot x= 3/4
therefore tan(90-x)= 3/4
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