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slavikrds [6]
2 years ago
11

What does it mean to use the cosine value of an inverse of tan θ?

Mathematics
1 answer:
Bond [772]2 years ago
3 0

Answer:

\boxed{  \begin{array}{ccc} \displaystyle  \theta =  {120}^{ \circ}   \\      \displaystyle\sin( {120}^{ \circ} )  =  \frac{ \sqrt{3} }{2}  \end{array}}

Step-by-step explanation:

we are given a inverse trig

we want to figure out the value of \theta

in that case we can consider using unit circle in unit circle the value of arctan (-√3)=120°

therefore,

the value of theta is 120°

likewise by unit circle the value of sine is

\displaystyle   \sin( {120}^{ \circ} )  =  \frac{ \sqrt{3} }{2}

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elena55 [62]

Answer:

The Correct option is C ) 25

Therefore the value of x is 25 when y =40.

Step-by-step explanation:

Given:

Variable 'y' is directly proportional to the variable 'x'.

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Where,

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To Find:

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Solution:

First we need to find Constant of proportionality

When x = 20 and y = 32

Substituting the values we get

32=k\times 20\\k=\dfrac{32}{20}=1.6\\\\k=1.6

Now when k =1.6 , y = 40 then x will be

40=1.6\times x\\\\x=\dfrac{40}{1.6}=25\\\\x=25

Therefore the value of x is 25 when y =40.

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