Question

what is the value of cos theta if value of theta Is 500 degrees​

Answer 1

Answer:

The equation of the given line is

3

x+y+2=0

this equation can be reduced as −

3

x−y=2

on dividing both sides by

(−

3

)

2

+(−1)

2

=2,

we obtain −

2

3

x−

2

1

y=

2

2

⇒{−

2

3

}x+{−

2

1

}y=1....(1)

On comparing equation (1) to xcosθ+ysinθ=p,

we obtain cosθ=−

2

3

,sinθ=−

2

1

, and p=1

Since the value of sinθ and cosθ are both negative, θ is in the third quadrant

∴θ=π+

6

π

=

6

7π

Thus, the respective values of θ and p are

6

7π

and 1

Step-by-step explanation:

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