What is the value of x? sin(x+16)°=cos(2x+14)°

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04-04-2017
Mathematics

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What is the value of x? sin(x+16)°=cos(2x+14)°

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ghanami ghanami · Answer 1 · 2017-04-04T11:31:16+02:00

ghanami ghanami

04-04-2017

hello :
by identity :
sin(x)° =cos(90-x)°
solve : sin(x+16)°=cos(2x+14)°
cos(90-(x+16))°= cos(2x+14)°
cos (74-x)°= cos(2x+14)°
74-x =2x+14+360k.......(1)
or

74-x =- (2x+14)+360k' ......(2)
find x with (1) and (2)

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charmander574 charmander574 · Answer 2 · 2020-03-27T16:15:27+01:00

charmander574 charmander574

27-03-2020

Answer:

the answer is x = 20

hope this helps

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