If sin α=(12/13), and cos α=(5/13), then tan α = ?
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Answer:
Step-by-step explanation:
Find the required figure in the attachment. From the figure, <A = <B (alternate interior angle)
Given
∠A=6x+5
∠B=4x+45
Since <A = <B hence;
6x+5 = 4x+45
Collect the like terms
6x-4x = 45-5
2x = 40
Divide both sides by 2;
2x/2 = 40/2
x = 20
Hence the value of x is 20°
Next is to get the measure of <A
Since <A = 6x+5
Substitute x = 20° into the expression
<A = 6(20)+6
<A = 120+6
<A = 126°
Hence the measure of <A is 126°
