sin x multiply by csc x= 1 true or false?
sin x * csc x=1 is true
this is because sin=opposite/hypotenuse and csc is the reciprocal identity of sin (1 over the sin) which is equal to hypotenuse/opposite
Thus, when opp/hyp is multiplied by hyp/opp, both the opp's and hyp's cancel out. Since these values cancel out only the number 1 is left.
To solve this equation and determine if it is true or false, we need to use the basic trigonometric identities.
The given equation is sin x * csc x = 1.
The reciprocal identity of sin x is cosec x (csc x), which is equal to 1/sin x. Therefore, we can rewrite the equation as sin x * (1/sin x) = 1.
When we multiply sin x by 1/sin x, the sin x terms cancel out, leaving us with 1 = 1.
Since the equation simplifies to a true statement (1 = 1), we can conclude that sin x * csc x = 1 is indeed true.