Question

cosec thita addition cot thita equal
$\sqrt{3}$
then find the cosec thita and cot thita​

Answer 1

cosecΦ + cotΦ = √3 .......i)

cosec^2Φ - cot^2Φ = 1

(cosecΦ + cotΦ)(cosecΦ - cotΦ) = 1

cosecΦ - cotΦ = 1/√3 .....ii)

add i) and ii)

2cosecΦ = 1+1/√3

cosecΦ = √3 + 1/ 2√3

Answer 2

Answer:

he----

Step-by-step explanation:

late here place of theta =x.

then. cosec x + cot x=√ 3. .......(1)

but we know that ..

cosec ^2 x - cot ^2 =1.

or.(cosec x +cot x)(cosec x- cot x)=1

so ..

cosec x - cot x = 1/√3. ......(2)

equ. (1). +. equ.(2)....

then we find

2 cosec x = 4/√3 = 4√3/3.

________ ___________

cosec x = 2√3/3.

_______________________

cot x = √{cosec ^2 -1}

= √{ (2√3/3)^2-1}

= √{12/9-1}.

= √3/9

= √1/3.

I hope this is right and helps u.

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