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Q.

How do you find the six trigonometric functions of 420° ?

Question Image3

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a

,a.       4

b

1

c

, 3,

d

31        2

e

, 2,

answer is C.

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Detailed Solution

Sin (420°)
= Sin (90° × 5 30°)
Question ImageSin 420° = Cos 30° = 3/2
Cos (420°)
Question Image= Cos (90° × 5 30°) Cos 420° = Sin 30° = 1/2
Tan 420° = 𝑆𝑖𝑛 420° = 3/2 3
𝐶𝑜𝑠 420°
 Cot 420° = 1
𝑇𝑎𝑛 420°

1/2
1
=
3
Sec 420° = 1
𝐶𝑜𝑠 420°

1
= = 2
1/2
Cosec 420° = 1
𝑆𝑖𝑛 420°

1 2
= =
3/2 3
 3/2 3
 
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How do you find the six trigonometric functions of 420° ? √3