how do I calculate this 1/sinθ=1sin/() when θ=43? I don't get this formula . show steps
1sin/()
looks like a typo to me.
θ is just the name given as a place holder.
If you want to find 2x when x=3, you just use 2*3 = 6
sinθ is just a shorthand way of saying sin(θ)
so, if θ=43° then 1/sinθ = 1/sin(43°) = 1/0.682 = 1.466
that only explain the left side. what about the right side 1sin/()? does this mean 1sin(43)/(43)?
To calculate the expression 1/sinθ = 1sin/(), we need to understand the formula and then substitute the value of θ.
The formula 1/sinθ = 1sin/() is not correct as it seems to be missing information. Let's assume that the formula is actually 1/sinθ = 1/sin().
To solve this equation, we can use the reciprocal identity of sinθ, which states that the reciprocal of sinθ is cosecθ (cosecant of θ). Therefore, the equation becomes:
1/sinθ = 1/cosecθ
Now, we can substitute θ = 43 into the equation:
1/sin43 = 1/cosec43
To simplify the equation further, we need to find the value of cosec43.
The reciprocal of sine is not directly available on most calculators. However, we can use the fact that cosecθ is equal to 1/sinθ. Therefore, we can rewrite the equation as:
1/sin43 = 1/(1/sin43)
To simplify, we take the reciprocal of the reciprocal:
1/(1/sin43) = sin43
Thus, the expression 1/sin43 = 1/sin() when θ = 43 is simplified to sin43.
Please note that if you intended to have a different expression or formula, provide the correct details, and I'd be happy to assist with the steps.