The value of tan 1875° will be.
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Answer:
sin 1875°. = sin (1800 + 75°). = sin (360 x 5 + 75). = sin 75 ( 360° is period of sin hence on a shift by multiple of 360° value.... do calculation by yourself
Answered by
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Answer:
tan 1875 = 2 + √3.
Step-by-step explanation:
Here 1875 = ( 5 x 360 + 75 )
∴ tan 1875° = tan (5x 360° + 75°)
tan 1875° = tan 75° since tan (n 360° +x) = tan x.
let consider tan 75 = tan (45°+30°)
tan (A+B) = ( tanA + tanB )/(1- tanA tanB)
Therefore tan 75 = (tan 45° + tan 30°)/(1- tan45° tan30°)
= (1+1/√3)/(1–1/√3)
= (√3 + 1)/(√3 –1)
tan 75 = 2 + √3
therefore tan 1875 = tan 75 = 2 + √3
tan 1875 = 2 + √3.
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