8-64 A Text Book of Mathematics-X 45. ufa sin 0 + cos 0 =p oft sec 0 + cosec 0 =9, aa fra fos 9602-1)=2p

If sin A + cos A = p and sec A + cosec A = q , then prove that : q(p^(2) - 1) = 2 p

If y sin 45^0 cos 45^0 = tan^2 45^0 cos^2 30^0 then y =

If sin theta+ cos theta = p and sec theta + cosec theta = q ; show that q(p^2-1) = 2p

If cos theta + sin theta = p and sec theta + cosec theta = q , prove that q (p^(2) - 1) = 2p .

Prove the following identities : (cos 0 cot 0)/ (1 + sin 0) = cosec 0 -1

If sin theta + cos theta = p and sec theta + "cosec"theta = q , then prove that q(p^(2)-1) = 2p .

If sin theta+cos theta=p and sec theta+csc theta=q show that q(p^(2)-1)=2p

Prove that: ((sin 0+sin 60)(cos 60+tan 45)/(tan 30+cot 60)(cosec 30-cosec 90))=(9/8)

If the roots of the given equation (cos p-1)x^(2)+(cos p)x+sin p=0 are real if

Let a=cos 0^@ sin² 270^@ - 2 cos 180^@ tan 45^@b=3 sin 180^@ *sec 180^@ + 2 cosec 90^@ - cos 360^@c=2 sec^2 pi cos 0^@ + 3 sin^2 (3 pi)/2-cosec pi/2 and d= tan pi cos (3 pi)/2+ sec 2 pi - cosec (3 pi)/2Find the value of (a+b+c+d).