Question

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 ​

Answer 1

Answer:

ᕼᗴᗩᖇ Ꮖᔑ Ꭹᝪᑌᖇ ᗩᑎᔑ

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

Answer 2

Answer:

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btb

Step-by-step explanation:

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