Question

tanA=1 and tanB=√3,then cosA.cosB-sinA.sinB is equal to?

Answer 1

If tanA = 1; tanB

= √3 therefore,

A is equal to 45 degree and B is equal to 60 degree hence,

 tan 45 degree is equal to 1 and tan 60 degree is equal to √3 Solution 1 – cos A.cos B – sin A.sinB

which is equal to, (cos 45 degree) (cos 60 degree) - (sin 45 degree) (sin 60 degree)

which is, 1/2 x 1/√2 - 1/√2 x √3/2 = 1-√3/2√2

Answer 2

Answer:

Step-by-step explanation:

If tanA = 1; tanB

= √3 therefore,

A is equal to 45 degree and B is equal to 60 degree hence,

 tan 45 degree is equal to 1 and tan 60 degree is equal to √3 Solution 1 – cos A.cos B – sin A.sinB

which is equal to, (cos 45 degree) (cos 60 degree) - (sin 45 degree) (sin 60 degree)

which is, 1/2 x 1/√2 - 1/√2 x √3/2 = 1-√3/2√2

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