Math, asked by supriyapavnak, 1 month ago

prove that cos²theta upon sin theta + sin theta = cosec theta


please guys i want it immediately​

Attachments:

Answers

Answered by nishanthalchemy
1

Answer:

consider the identities,

cosec² θ = 1+cot² θ

sin² θ = 1 - cos² θ

(cosec θ+sin θ)(cosec θ-sin θ)

= cosec² θ - sin² θ

= 1+cot² θ - (1 - cos² θ)

= cot² θ + cos² θ

Answered by vatsalpal13jun2009
1

Answer:

Cosec theta=1/sin theta

Cos 2 theta/sin theta-1/sin theta+sin theta

Take lcm

Cos2 theta /sin theta-1/sin theta+sin2 theta/sin theta

Cos2 theta-1+sin2 theta/sin theta

(Cos2 theta +sin2 theta=1)

1-1=0

Hence, it is proved

Similar questions