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Plz help asapUse the Pythagorean Identity to find the missing trig function.a) Find [tex]sin0[/tex]...
4 months ago
Q:
Plz help asapUse the Pythagorean Identity to find the missing trig function.a) Find [tex]sin0[/tex] if [tex]cos0=\frac{1}{4}[/tex]b) Find [tex]cos0[/tex] if [tex]sin0=\frac{2}{5}[/tex]c) Find [tex]sin0[/tex] if [tex]cos0=\frac{3}{4}[/tex]
Accepted Solution
A:
Answer:Step-by-step explanation:a) cos∅=[tex]\frac{1}{4}[/tex] √(4²-1²)=√(16-1)=√(15) ∴sin∅=[tex]\frac{\sqrt{15} }{4}[/tex]b) sin∅=[tex]\frac{2}{5}[/tex] √(5²-2²)=√(25-4)=√(21) ∴cos∅=[tex]\frac{\sqrt{21} }{5}[/tex]c) cos∅=[tex]\frac{3}{4}[/tex] √(4²-3²)=√(16-9)=√(7) ∴sin∅=[tex]\frac{\sqrt{7} }{4}[/tex]