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Q.

Find the volume of the expression tan(-585°)

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a

-1

b

1

c

0

d

2  

answer is A.

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Detailed Solution

Let A = tan(-585°)..(1)
As we know that  tan(-θ) = -tanθ
A= tan (-585°)= -tan 585°
And  585 =180*3 +45°
And ⊼ ratian= 180°..(2)
And 45° =  ⊼ /4 radian..(3)
Using equation (2)and(3)
585= 3⊼ + ⊼ /4
∴A =-tan ( 3⊼ + ⊼ /4)
We know tan ( 3⊼ + θ)= tanθ
A = -tan(3⊼ + ⊼ /4) = -tan ⊼ /4 = -1
This option (1) is correct.
   Type-  CBSE
Class-  10
Subject-  Mathematics
Chapter-  Trigonometry formulas and identities
Topic-  Trigonometry formulas and identities
 
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