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If ("cos"(x-y))/("cos"(+y))+("cos"(z+t))...

If `("cos"(x-y))/("cos"(+y))+("cos"(z+t))/(cos(z-t))=0` , then the value of expression `tanxtanytanztant` is equal to 1 (b) `-1` (c) 2 (d) `-2`

A

1

B

`-1`

C

2

D

`-2`

Text Solution

Verified by Experts

The correct Answer is:
B
`(cos(x-y))/(cos(x+y))+(cos(z+t))/(cos(z-t))=0`
or `(1+tan x tan y)/(1-tan x tan y)+(1-tan z tan t)/(1+tan z tan t)=0`
or `1+tan z tan t+tan x tan y+tan x tan y tan z tan t`
or `tan x tan y tan z tan t =-1`
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