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If 2a=2tan10^(@)+tan50^(@), 2b=tan20^(@)...

If `2a=2tan10^(@)+tan50^(@), 2b=tan20^(@)+tan50^(@)`
`2c=2tan10^(@)+tan70^(@), 2d=tan20^(@)+tan70^(@)`
Then which of the following is/are correct ?

A

`a+d=b+c`

B

`a+b=c`

C

`a gt b lt c gt d`

D

`a lt b lt c lt d`

Text Solution

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The correct Answer is:
A, B, D
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tan20^(@)+2tan50^(@)=

tan100^(@)+2tan70^(@)=

2tan10^(@)+tan50^(@)=2x,tan20^(@)+tan50^(@)=2y,2tan50^(@)+tan70^(@)=2w and tan20^(@)+tan70^(@)=2z which of the following is/true

tan10^(@)-tan50^(@)+tan70^(@)=?

tan10^(@)-tan50^(@)+tan70^(@)

tan50^(@)-2tan10^(@)=

tan 70^(@) - tan 20^(@) -2 tan 40^(@)=

(tan80^(@)-tan10^(@))/(tan70^(@))

VK JAISWAL-COMPOUND ANGLES-Exercise-2 : One or More than One Answer is/are Correct
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  19. If alpha gt (1)/(sin^(6)x+cos^(6)x) AA x in R, then alpha can be

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