If $$cos$$⁡$$(A$$−$$B)=35$$ and $$tan$$⁡ Atan⁡$$B=2$$ then

Correct option is 1cos⁡A cos⁡B=15

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If $\cos (A - B) = \frac{3}{5}$ and $\tan Atan B = 2$ then

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cos⁡A cos⁡B=15

sin⁡A sin⁡B=−25

cos⁡A cos⁡B=-15

sin⁡A sin⁡B=−15

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detailed solution

Correct option is A

cos⁡(A−B)=35or 5cos⁡Acos⁡B+5sin⁡Asin⁡B=3 ------------(1)From the second relation , we getsin⁡Asin⁡B=2cos⁡Acos⁡B -----2⇒cos⁡Acos⁡B=15 and sin⁡Asin⁡B=25

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If cos⁡(A−B)=35 and tan⁡ Atan⁡B=2 then

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If $\cos (A - B) = \frac{3}{5}$ and $\tan Atan B = 2$ then