if sin A = 3/4 find the value of tan A
Answers
Answered by
0
Step-by-step explanation:
Answer
Given, sinA=
4
3
⇒
DC
BC
=
4
3
⇒BC=3k and AC=4k
where k is the constant of proportionality.
By Pythagoras theorem, we have
AB
2
=AC
2
−BC
2
=(4k)
2
−(3k)
2
=7k
2
⇒AB=
7
k
So, cosA=
AC
AB
=
4k
7
k
=
4
7
And tanA=
AB
BC
=
7
k
3k
=
7
3
Answered by
0
Answer:
Step-by-step explanation:
Sina = 3/4 = P/H
LET P = 3x and H=4x
by pythagorus theorem
P^2 + B^2 = H^2
=> 9x^2 + B^2 = 16x^2
B= root7x
tanA = P/B = 3/root7
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