Question

if sin theta=2/5 then evalute (1+ sin theta/cos theta​

Answer 1

In right angled triangle ABC,

tanA= 1/root3

tan A will be equal to 1/root3 only when A=30 degrees

And by angle sum property in triangle ABC, we get C=60 degrees

(i) sinAcosC+cosAsinC

=> 1/2* 1/2+root3/2*root3/2

=> 1/4+3/4= 4/4

=> 1....

(ii) cosAcosC-sinAsinC

=> root3/2*1/2-1/2*root3/2

=> 0....

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