If sin36°=p then find the value of sin54° in terms of p
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Answered by
3
Break sin 54 as sin (36+18) = sin 36 cos 18 + cos 36 sin 18
rajrajeshwergupta:
It is wrong by identity this is =one which is wrong
in terms of p?
Answered by
12
hello friend
here is your answer
as you know that sin∅=cos(90-∅)
sin 36= cos(90-36)=cos54=p
cos= adjacent / hypotenuse
adjacent=p
hypotenuse=1
opposite(find by pythagoras theorem)= 1-√p
therefore sin 54= opposite/hypotenuse= 1-√p/1=1-√p
here is your answer
as you know that sin∅=cos(90-∅)
sin 36= cos(90-36)=cos54=p
cos= adjacent / hypotenuse
adjacent=p
hypotenuse=1
opposite(find by pythagoras theorem)= 1-√p
therefore sin 54= opposite/hypotenuse= 1-√p/1=1-√p
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hi
Thank you you are a genius
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