Question

cosec< = 5/4 verify that

tan</1+tan^< = sin</sec<.​

Answer 1

Answer:

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+(3÷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

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Cheers

-Hermione