Question

If tan A=3/2,then find the other trigonometry ratio of angle A

Answer 1

Answer:

tan A=3/2

cot A=2/3

Step-by-step explanation:

1+tan^2theta=sec^theta

1+(3/2)^2=sec^2theta

1+9/4=sec^2theta

4+9/4=sec^2theta

sec theta=√13/2

sec theta=1/cos theta

cos theta =1/√13/2=2/√13

sin^ 2theta +cos^ theta=1

sin^2theta=1-cos^theta

sin^2theta=1-4/13

=13-4/13

= 9/13

sin theta=√9/√13

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