Question

Prove that tan 315°×cot(-405°) +cos 495°×tan(-585°) =2

Answer 1

Answer:

2

Step-by-step explanation:

Given  

Prove that tan 315°×cot(-405°) +cos 495°×tan(-585°) =2

ANSWER

  We have  

Tan 315 = tan(360 – 45) = - tan 45 = - 1

Cot (- 405) = - cot 405 = - cot(360 + 45) =  cot 45 = - 1

Cot 495 = cot(360 + 135) = cot 135 = cot(180 – 45) = - cot 45 =  -1

Tan ( 585) = - tan 585 =  tan(360 + 225) = - tan 225 = - tan(180 + 45) = - tan 45 =  -1

    Tan 315 x cot 405 + cot 495 x tan – 585

         -1 x – 1 + - 1 x -1

              = 2

Answer 2

Step-by-step explanation:

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