2013
Mathematics
67ca00ce0c643c71d77dee1f
If tanθ=3/4, find the value of sinθ + cosθ .
A.
1(1/3)
B.
1(2/3)
C.
1(3/5)
D.
1(2/5)
Correct Answer: 1(2/5)
Explanation
tan θ = opp/adj = 3/4 hyp2=opp2 + adj2 hyp= √(32 + 42) = 5 sinθ = 3/5; cosθ = 4/5 sinθ + cosθ = 3/5 + 4/5 = 7/5 = 1(2/5)
tan θ = opp/adj = 3/4 hyp2=opp2 + adj2 hyp= √(32 + 42) = 5 sinθ = 3/5; cosθ = 4/5 sinθ + cosθ = 3/5 + 4/5 = 7/5 = 1(2/5)THIS WEEK's
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