cosec theta + cot theta = 1 /cosec theta - cot theta prove that
Answers
Answer:
The answer is in the attachment.
Answer:
Step-by-step explanation:Let. theta=x
(cosecx-cotx)=1/(cosecx-cotx)
or. (cosecx-cotx)^2=1
or. cosec^2(x)+cot^2(x)-2cosecx.cotC=1
or. cosec^2(x)-1+cot^2(x)-2cosec(x).cot(x)=0
or. cot^2(x)+cot^2(x)-2.cosec(x).cot(x)=0
or. 2.cot^2(x)-2.cosec(x).cot(x)=0
or. 2.cot(x){cot(x)-cosec(x)}=0
Either. cot x=0
cot x= cot π/2
or. x=π/2. Answer.
Or. cotx-cosecx=0
or cotx=cosecx
or. cosx/sinx=1/sinx
or. cosx=1
or. cosx=coso°
or. x=0°. Answer.
679 views
Related QuestionsMore Answers Below
What is (cosec) theta - (cot) theta?
What is the value of cosec theta + cot theta?
If cosec theta = cot theta, then what is theta?
If tan theta + cot theta = 2, then what is the value of tan squared theta - cot squared theta equal to?
What is the value of sec theta if cosec theta - cot theta = 7/2?
Shreyas Waghe
Shreyas Waghe
Answered Sep 20, 2018
theta is a greek character represented as θ
cosec θ=1/sin θ
where sinθ= perpendicular/hypotenuse for a traingle where one angle is 90 and the base angle is θ,
Similarly, cot θ= 1/tan θ
where tan θ= sin(θ)/cos(θ)
cos θ=base/hypotenuse
Also,cosec²θ-cot²θ=1 not cosec θ-cot θ