Question

if sec theta = 5/4 ,verify that tan theta /1+tan^2 theta = sin theta /sec theta​

Answer 1

Hey buddy here is your answer

Given- Sec theta= 5/4

hypotenuse = 5

adjacent side = 4

Then by Pythagoras theorem-

oppsite side = root ((5)^2 - (4)^2)

= root (25 - 16)

= root 9

opposite side = 3

tan theta = 3/4

sin theta = 3/5

$(3 \div 4 )\div 1 +( 3 \div 4) ^{2}$

3/4 ÷ 1 + 9/16

3/4 ÷ 25/16

= 12/25 = LHS

3/5 ÷ 5/4

= 12/25 = RHS

LHS = RHS

Hence Proved

Hope it helps

Please mark it as the brainliest

Cheers

-Hermione

Answer 2

here is ur answer buddy✌️✌️

Step-by-step explanation:

hope it helps u buddy✌️✌️