Question

Sen 7π/6 + tg 5π/4 --------------------------- cos 5π/3

Answer 1

sen 7pi/6 + tg 5pi/4
_______________
------;cos 5pi/3


(-1/2) + (-\/2/2)
___________
----(-\/3/2)


-1/2 - \/2/2
________
- \/3/2


-\/2/2
____
-\/3/2


\/2/2
____
\/3/2


\/2 2
__ x ___
2. \/3


2\/2
___
2\/2


\/2
__
\/3


\/2 x \/3
__. __
\/3. \/3


\/6
__
\/9


\/6
__
3

Answer 2

Sen 7π/6 + tg 5π/4 --------------------------- cos 5π/3  sen 7.180/6 + tg 5.180/4 --------------------------------------- cos 5.180/3  sen 1.260/ + tg 900/4 --------------------------------- cos 900/3  sen 210 + tg 225 -------------------------- cos 300  (210-180=30°) (225-180=45) (360-300=60)  Substituindo: 1/2 +1            2/2                        ---------   =     -------                            1/2              1/2  2/2  .  2/1   =   4/2  =  2    Espero ter ajudado!