Find the value of sin 75^circ

Jadiel Yates

Jadiel Yates

Answered question

2022-11-24

Find the value of sin75.

Answer & Explanation

revessatrP6

revessatrP6

Beginner2022-11-25Added 11 answers

Find the value of given trigonometric ratio.
We have trigonometric ratio: sin75
sin75can be expressed as, sin75=sin(45+30)
We know that sin(A+B)=sinAcosB+cosAsinB
So by applying the above formula we get,
sin75=sin45cos30+cos45sin30
As, sin45=12,cos30=32=,cos45=12 and sin30=12.
By substituting the values we get,
sin75=12×32+12×12=322+122=3+122
Hence, the value of sin75is 3+122.

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