Notice that
11/12 = 1/6 + 3/4
so that
tan(11π/12) = tan(π/6 + 3π/4)
Then recalling that
sin(x + y) = sin(x) cos(y) + cos(x) sin(y)
cos(x + y) = cos(x) cos(y) - sin(x) sin(y)
⇒ tan(x + y) = (tan(x) + tan(y))/(1 - tan(x) tan(y))
it follows that
tan(11π/12) = (tan(π/6) + tan(3π/4))/(1 - tan(π/6) tan(3π/4))
tan(11π/12) = (1/√3 - 1)/(1 + 1/√3)
tan(11π/12) = (1 - √3)/(√3 + 1)
tan(11π/12) = - (√3 - 1)²/((√3 + 1) (√3 - 1))
tan(11π/12) = - (4 - 2√3)/2
tan(11π/12) = - (2 - √3) … … … [A]
Answer:cos(53), cos 53 degrees
Step-by-step explanation: sin(angle)= cos(90-angle)
sin(37)=cos(90-37)=cos(53)
Answer:
B
Step-by-step explanation:
Yes your answers are correct :)
Step by step review:
First line has product of 5 and (x+2) so product property is good.
2nd line has division so quotient property is good.
3rd line has equal log with base 2 so equality property is good.
4th line has multiplication so that is also good
5th line has distribution of 5 and 7 so distributive property is good.
Your answer is correct.
