`(1-Cos theta)(1+ Cos theta)` =

Prove each of the following identities : (i) sqrt((1+ sin theta)/(1- sin theta)) = ( sec theta + tan theta) (ii) sqrt((1- cos theta)/(1+ cos theta))= ("cosec" theta - cot theta) (iii) sqrt((1+ cos theta)/(1- cos theta))+ sqrt((1- cos theta)/(1+ cos theta)) = 2 "cosec" theta

(1 + sin theta) / (1 + cos theta) + (1-sin theta) / (1-cos theta) =

If sqrt((1-cos theta)/(1+cos theta)) xx sqrt((cosec theta-cot theta)/(cosec theta+cot theta))= (1-r)/(1+r) , then the value of r is: यदि sqrt((1-cos theta)/(1+cos theta)) xx sqrt((cosec theta-cot theta)/(cosec theta+cot theta))= (1-r)/(1+r) है, तो r का मान ज्ञात करें |

1/(1-cos theta) + 1/(1+cos theta)

(1)/(1-cos theta)-(1)/(1+cos theta)=(2cos theta)/(sin^(2)theta)=2cot theta xx csc

If a^(2)+b^(2)+c^(2)=1 then |(a^(2)+(b^(2)+c^(2))costheta, ab(1-cos theta),ac(1-cos theta)),(ba(1-cos theta),b^(2)+(c^(2)+a^(2))cos theta,bc(1-cos theta)),(ca(1-cos theta),cb(1-cos theta),c^(2)+(a^(2)+b^(2))costheta)| equals

If tan theta=sqrt((3)/(2)), then the sum of the infinite series 1+2(1-cos theta)+3(1-cos theta)^(2)+4(1-cos theta)^(3)+......

Prove (cos theta)/(1-sin theta)=(1+cos theta+sin theta)/(1+cos theta-sin theta)

(cos theta)/(1-sin theta)=(1+cos theta+sin theta)/(1+cos theta-sin theta)