In right angled triangle LMN if angle N is 90 degree ,angle M is theta cos theta is 24/25 find sin theta and tan theta
Answers
Answered by
2
Answer:
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Step-by-step explanation:
In right angles ΔLMN
∠N=θ,
cosθ=
25
24
⇒
LN
MN
=
25
24
Let MN=24K and LN=25K .
Using Pythagoras theorem , we have
LN
2
=LM
2
+MN
2
⇒(25k)
2
=LM
2
+(24k
2
)
⇒LM
2
=625K
2
−576k
2
=49k
2
⇒LM
2
=(7k)
2
⇒LM=7k
Now,
sinθ=
LN
LM
=
25k
7k
=
25
7
tanθ=
NM
LM
=
24k
7k
=
24
7
Also ,
sin
2
θ=(
25
7
)
2
=
625
49
cos
2
θ=(
25
24
)
2
=
625
576
Answered by
0
Answer:
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Step-by-step explanation:
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