Question 958120
Suppose x is a real number such that 5cos(&#981;)=x where &#981; is a first quadrant angle. Find algebraic expressions (in terms of 5 and x ) for sin(&#981;) and tan(&#981;).
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5cos&#981;=x
cos&#981;=x/5
sin&#981;=&#8730;(1-cos^2(&#981;))=&#8730;(1-x^2/25)=&#8730;((25-x^2)/25)=&#8730;(5^2-x^2)/5
tan&#981;=sin&#981;/cos&#981;=&#8730;(5^2-x^2)/x