1) cos 1° + cos 2° + cos 3° +…+cos 179°=​

Question

1)
cos 1° + cos 2° + cos 3° +…+cos 179°=​

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Serenity 4 weeks 2021-08-22T23:34:40+00:00 2 Answers 0 views 0

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    2021-08-22T23:36:38+00:00

    answer is 0

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    2021-08-22T23:36:39+00:00

    Answer:

    given expression can be rearranged as

    (Cos 1 +cos 179) +(cos 2+ cos 178) + (cos 3+cos 177)+…………………..(cos89+ cos91) +cos 90 +cos 180

    Step-by-step explanation:

    but we know that cos( 180 – X) equal to – cos x , where is X is angle in degrees so all the bracket total except last 2 term will be zero

    so given expression is zero + cos 90 + cos 180

    = 0 + 0 + (-1)

    = -1

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