Question

if tan theta =2 find the value of cos theta​

Answer 1

tan theta=2/1

tan theta = opp/adj

by Pythagoras theorem h²=o²+a²

h²=2²+1²

h²=4+1=5

h²=5

h=√5

cos theta =adj/hyp

=>1/√5

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Answer 2

Answer:

cos (theta) = 1/√5

Step-by-step explanation:

tan (theta) = 2

=> sin (theta)/ cos(theta) =2

=> sin(theta) =2cos(theta)

=> sin^2(theta)=4cos^2(theta)

=> 1-cos^2(theta)=4cos^2(theta)

=> 5cos^2(theta)=1

=> cos^2(theta)=1/5

=> cos(theta)=1/√5