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Assertion (A) : Suppose that alpha- beta...

Assertion (A) : Suppose that `alpha- beta` is not an odd multiple of `(pi)/(2) , m in R-{0,1) and (sin (alpha+beta))/(cos (alpha-beta))=(1-m)/(1+m)` then `Tan ((pi)/(4)-alpha)=m cot ((pi)/(4)- beta)`
Reason (R) : for all C,D, & R
`cos c+cos D= 2 cos ((C+D)/(2)) cos((C-D)/(2))`
`cos-cosD=-2sin ((C+d)/(2))sin ((C-D)/(2))`

A

A is true R, is true ` R rArr A`

B

A is true R is true but `R cancel rArr A`

C

A is true, R is false

D

A is false, R is true

Text Solution

Verified by Experts

The correct Answer is:
A
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