Question

tantheta+4/tantheta =5 find sintheta and costheta

Answer 1

hi ✌️

here is your answer....

Let tan theta= A

then , according to the question

A + 4/A =5

A^2-5A+4=0

(A-4) (A-1)=0

A=4 or 1

hence, tan theta = 4 or 1

we know that
1+tan^2 theta=sec^2 theta......(1)

so, tan^2 theta = 1 or 16

putting the value of tan they in eq.....(1)

case-1
======
1+1=sec^2theta

cos theta= 1/ root2

case-2
======
1+16= sec^2 theta

cos theta=1/root 17

again ,

sin^2 theta+cos^2theta=1

sin^2theta=1-cos^theta

hence sin theta=1/root2 or 4/root 17

hope it will help you ☺️

be BRAINLY ☑️

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