Question

if sintheta=3by5 prove(tantheta+sectheta)2=4​

Answer 1

Answer:

Step-by-step explanation:

Sin(theta)=P/H=3/5

P=3 H=5

BY PYTHAGORAS THEORAM

B=4

(Tan thetha + sec thetha)2

(P/B+H/B)2

(3/4+5/4)2

(2)2=4

Answer 2

Step-by-step explanation:

If sin(theta)=3/5

then, by pythagoras theorm ,

triangle's base =4 .

after this , tan(theta)=3/4 and sec(theta)= 1/ cos (theta)

cos(theta)=4/5, then sec(theta) will be = 5/4

by adding ,

[Tan(theta) + sec(theta)]2=4

in LHS,

[3/4+5/4=8/4=2 ]2

[2]2= RHS

4=4

hence , LHS=RHS. PROVED!