If `A=340^@` then `2 sin(A/2)` is identical to

If A=340^(@), prove that 2sin((A)/(2))=-sqrt(1+sin A)+sqrt(1-sin A) and 2cos((A)/(2))=-sqrt(1+sin A)-sqrt(1-sin A)

If A=340^(@) " then " sqrt(1- sin A)-sqrt(1+ sin A)=

Show that none of the following is an identity: (i) cos^(2) theta + cos theta =1 " " (ii) sin^(2) theta + sin theta =2 " " (iii) tan^(2) theta + sin theta = cos^(2) theta

If sin20^(@)=p, " then find the value of " ((sin380^(@)-sin340^(@))/(cos380^(@)+cos340^(@))) .

Prove the following identity : sin^4 theta+ cos^4 theta= 1-2 sin^2 theta cos^2 theta .

(cos A-sin A+1)/(cos A+sin A-1)=cosec A+cot A," using the identity cosec^(2)A=1+cot

Prove each of the following identities : (sin theta + cos theta)/(sin theta - cos theta) + (sin theta - cos theta)/(sin theta + cos theta) = (2) /((sin^(2) theta - cos^(2) theta)) = (2) /((2sin^(2) theta -1))

Prove the following identity : cos^4 theta- sin^4 theta= cos^2 theta-sin^2 theta= 2 cos^2 theta-1=1-2 sin^2 theta .

Complete the following activity by filling the boxes. sin^(2) theta+cos^(2) =square ….(Identity) Dividing each term by sin^(2) theta , we get (sin^(2)theta)/(sin^(2) theta)+(cos^(2)theta)/(sin^(2)theta)=(square)/(sin^(2)theta) :.1+square=square