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Vera_Pavlovna [14]
3 years ago
6

Help me pls I’m new to this pls answer if you know it thank you!

Mathematics
1 answer:
Gala2k [10]3 years ago
6 0

Hello dear,  I am your subsitute teacher and this is a form of cheating so stop it please as i may infrom your activity to the Principal.

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For which acute angle are the sine of the angle and cosine of the angle equal? 30º 45º 60º 75º
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Hello

sin ..... | 0° |30°|45°|60°|90°|
...........| 0...| 1..| 2..|  3..| 4..|  write numbers
...........| 0...| 1..|√2.| √3 | 2..| take root square
...........| 0...|1/2|√2/2|√3/2|1| divide by 2
...........| 0...|1/2|√2/2|√3/2|1| .....
cos.....| 90°|60°|45°|30°| 0°|

sin (75°)
=sin(30°+45°)=sin 30°*cos 45° +cos 30°*sin 45°
....................  =1/2*√2/2            +  √3/2*√2/2
....................   = √2(1+√3)/4

cos 75°
=cos(30°+45°)=cos 30°*cos 45°-sin 30°*cos 45°
=√3/2*√2/2-1/2*√2/2
=√6/4-√2/4=√2/4*(√3 -1 )

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Step-by-step explanation:

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