1.

Find sin pi by 12 (with steps)Will make u the brainliest..

Answer»

Step-by-step explanation:

Trigonometry Angles--Pi/12

cos(pi/(12)) = 1/4(sqrt(6)+sqrt(2))

(1)

cos((5pi)/(12)) = 1/4(sqrt(6)-sqrt(2))

(2)

COT(pi/(12)) = 2+sqrt(3)

(3)

cot((5pi)/(12)) = 2-sqrt(3)

(4)

csc(pi/(12)) = sqrt(6)+sqrt(2)

(5)

csc((5pi)/(12)) = sqrt(6)-sqrt(2)

(6)

sec(pi/(12)) = sqrt(6)-sqrt(2)

(7)

sec((5pi)/(12)) = sqrt(6)+sqrt(2)

(8)

sin(pi/(12)) = 1/4(sqrt(6)-sqrt(2))

(9)

sin((5pi)/(12)) = 1/4(sqrt(6)+sqrt(2))

(10)

tan(pi/(12)) = 2-sqrt(3)

(11)

tan((5pi)/(12)) = 2+sqrt(3).

(12)

These can be derived using

sin(pi/(12)) = sin(pi/3-pi/4)

(13)

= -sin(pi/4)cos(pi/3)+sin(pi/3)cos(pi/4)

(14)

= -1/2sqrt(2)(1/2)+1/2sqrt(3)(1/2sqrt(2))

(15)

= 1/4(sqrt(6)-sqrt(2)).

(16)

Similarly,

cos(pi/(12)) = cos(pi/3-pi/4)

(17)

= cos(pi/4)cos(pi/3)-sin(pi/3)sin(pi/4)

(18)

= 1/2(1/2sqrt(2))+1/2sqrt(3)(-1/2sqrt(2))

(19)

= 1/4(sqrt(6)+sqrt(2)).

(20)


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