value of sin72° and sin 36° are
Answers
Step-by-step explanation:
sin 72° is 0.951
sin 36° is 0.587
Answer:
=> sin 36 * sin 72 * sin 108 * sin 144
=> sin 36 * sin 72 * sin (180 - 72) * sin (180 - 36)
=> sin 36 * sin 72 * sin 72 * sin 36
=> [sin 36 * sin 72]²
=>¼ [ 2sin 36 * sin 72]²
=>¼ [ cos 36 - cos 108]²
2sin(A)*sin(B) = [cos(A-B) - cos(A+B)]
=>¼ [ cos 36 + sin 18]² ; cos(108) = cos(90+18) = -sin(18)]
=>¼ [ (√5 + 1)/4 + (√5 - 1)/4]²
; put
cos 36 = (√5 + 1)/4 and sin 18 = (√5 - 1)/4
=>¼ [ √5/2 ]²
=> 5/16
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Community Guidelines=> sin 36 * sin 72 * sin 108 * sin 144
=> sin 36 * sin 72 * sin (180 - 72) * sin (180 - 36)
=> sin 36 * sin 72 * sin 72 * sin 36
=> [sin 36 * sin 72]²
=>¼ [ 2sin 36 * sin 72]²
=>¼ [ cos 36 - cos 108]²
2sin(A)*sin(B) = [cos(A-B) - cos(A+B)]
=>¼ [ cos 36 + sin 18]² ; cos(108) = cos(90+18) = -sin(18)]
=>¼ [ (√5 + 1)/4 + (√5 - 1)/4]²
; put
cos 36 = (√5 + 1)/4 and sin 18 = (√5 - 1)/4
=>¼ [ √5/2 ]²
=> 5/16
Still have questions?
ASK YOUR QUESTION
FIND MORE ANSWERS
New questions in Math
4+4÷4-4=?a) 1 (b) 5 (c) 0 (d) 10
(x+12)×(x+3)=84cm²please solve this equation have been stuck on to this for a long while
For two different classes of objects we have the following measurements:Class 1: 0.4003, 0.3985, 0.3998, 0.3997, 0.4015, 0.3995, 0.3991Class 2: 0.2554 …
5.Rahamat chaha will go to retail market for selling mangoes kept in 50 packing boxes. Letus write the number of boxes contained varing number of mang …
classify classify the following numbers as rational or irrational.1)
The average age of 6 members of afamily is 45.5 years. If the age of arelative is also added, then new averagebecomes 47. The age of relative is?
A box contains 8 red ,9 blue,6 green and 5 yellow balls . how many green balls must be added to the box so that the probability of randomly picking a …
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step by step division of 44250/250
precaution to be taken during corona in hindi
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Next
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WE'RE IN THE KNOW
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