The value of sin75⁰+cos75⁰ is
Answers
Step-by-step explanation:
I am sorry i dont have any extra page this time.. And plz rotate yor phone upside down
Sin 75 = Sin(45+30)…………………..(1)
Sin (A + B) = Sin A. Cos B + Cos A. Sin B
Sin (45 + 30) = Sin 45. Cos 30 + Cos 45. Sin 30…………………..(2)
Sin Values
sin 0° = √(0/4) = 0
sin 30° = √(1/4) = ½
sin 45° = √(2/4) = 1/√2
sin 60° = √3/4 = √3/2
cos 90° = √(4/4) = 1
Cos Values
cos 0° = √(4/4) = 1
cos 30° = √(3/4) = √3/2
cos 45° = √(2/4) = 1/√2
cos 60° = √(1/4) = 1/2
cos 90° = √(0/4) = 0
Sin (45 + 30) = Sin 45. Cos 30 + Cos 45. Sin 30
Sin (45 + 30) = 1/√2 . √3/2 + 1/√2 . 1/2
Sin (75) = (√3 + 1) / 2√2
cos (a + b) = cos a.cos b - sin a.sin b
(✓3/2) (✓2/2) - (1/2) (✓2/2)
= (✓6 - ✓2)/4
= ✓4/4
= 1/✓4
sin75 + cos75
(√3 + 1) / 2√2 + 1/✓4
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