Given sin=0.3, what is cos? Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
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Answer:
Answer:
cos(x)=(+/-)0.95cos(x)=(+/−)0.95
Step-by-step explanation:
we know that
sin^{2}(x)+cos^{2}(x)=1sin
2
(x)+cos
2
(x)=1
we have
sin(x)=0.3sin(x)=0.3
substitute and solve for cos(x)
0.3^{2}+cos^{2}(x)=10.3
2
+cos
2
(x)=1
cos^{2}(x)=1-0.3^{2}cos
2
(x)=1−0.3
2
cos^{2}(x)=0.91cos
2
(x)=0.91
cos(x)=(+/-)\sqrt{0.91}cos(x)=(+/−)
0.91
cos(x)=(+/-)0.95cos(x)=(+/−)0.95
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