Question

prove that tan(-225°)cot(-405°)-tan(-765°)cot(675°)=0​

Answer 1

(1). tan (-225°)= tan(-(180+45))

-tan(180+45)=> tan45=>1

(2). cot (-(360+45)) => -cot(360+45)=>

-cot45

=>-1

(3). tan (-765) => -tan(765) =

- tan(720 +45) = -tan45 = -1

(4). cot (675)= cot(630 +45) = cot45 = 1

now ....

(1)(2)-(3)(4)

=(1)(-1)-(-1)(1)

=-1 +1 =0

Answer 2

Answer:

Please refer to the attachment.

Hope this helped.

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