4 years ago

WRITE IN SIMPLEST FORM : COS INVERSE( 3/5 COS X + 4/5 SIN X ),

1 answer:

3 0

Let Cos Y = 3/5 sin Y = 4/5 We know. cosYcosX+sinXsinY = cos (X-Y) COS INVERSE( 3/5 COS X + 4/5 SIN X ) = COS INVERSE( cosYcosX+sinXsinY) = COS INVERSE(cos (X-Y) = X-Y = X- cos inverse 3/5 = X - 57degrees

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3 years ago

Find the value of m that makes ABC~DEF when AB= 3, BC= 4, DE= 2m, EF= m+5, and ∠B≅∠E.

Yuki888 [10]

Answer:

m = 3

Step-by-step explanation:

It is given that there are two triangles $\triangle$ ABC and

$\triangle$ ABC ~

Also, the sides are:

AB= 3

BC= 4

DE= 2m

EF= m+5 and

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Please have a look at the attached figure for $\triangle$ ABC and

The triangles are similar so as per the property of similar triangles, the ratio of corresponding sides will be same.

i.e.

$\dfrac{AB}{DE} = \dfrac{BC}{EF}\\\Rightarrow \dfrac{3}{2m} = \dfrac{4}{m+5}\\\Rightarrow 3 \times (m+5) = 4 \times 2m\\\Rightarrow 3m +15= 8m \\\Rightarrow 5m=15\\\Rightarrow m = 3$

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8 0

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