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## Turner If tan x ̊= 3/y and cos x ̊= y/z , what is the value of sin x°? sin x°= 3/z sin x°= 3y sin x°= z/3 sin x°= 3z one year ago one year ago

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1. Turner

2. mraarm

Remember that tan(x) = sin(x) / cos(x)

3. mathslover

$\large{\tan x = \frac{3}{y}}$ $\large{\cos x = \frac{y}{z}}$ since : $$\large{\tan x = \frac{\sin x}{\cos x}}$$ @Turner put the given values of tan x and cos x in the formula (above) ... Can you tell me what do you get ?

4. Turner

is it $\frac{ 3z }{ y ^{2} }$ ???

5. mathslover

$\large{\frac{3}{y}=\frac{\sin x }{\frac{y}{z}}}$ $\large{\frac{3}{y}\times \frac{y}{z}=\sin x}$ $\large{\frac{3}{z}=\sin x}$

6. mathslover

Check your process again @Turner ...

7. Turner

ohhh okay! thankyou!!!

8. mathslover

You're always welcome. Best of luck.