If : `sin A + cos A =1, "then" :sin A - cos A =` A)`pm 1` B)0 C)`pm 2` D)`pm 3`

If 3 sin x + 5 cos x=5, "then" : 5 sin x-3 cos x.... A) pm 2 B) pm 3 C) pm 4 D) pm 5

If sin x + cos x = 1/5 , then tan 2x is .............. A) 25/17 B) 7/26 C) 25/7 D) pm24/7

(iii) If 3 sin alpha + 5 cos alpha = 5 then show that 5 sin alpha - 3 cos alpha = pm 3

sin A + sin B + sin C = cos A + cos B + cos C = 0then (A) cos (AB) = - (1) / (2) (B) sin ^ (2) A + sin ^ (2) B + sin ^ (2) C = 0 (C) sin ^ (2) A + sin ^ (2) B + sin ^ (2) C = (3) / (2) (D) cos ^ (2) A + cos ^ (2) B + cos ^ (2) C = (3) / (2)

If (2sin theta + 3 cos theta) =2 , prove that (3 sin theta - 2 cos theta ) = pm 3.

sin ^(6) a + cos ^(6) A - 1 is equal to A. -3 sin ^(2) A cos ^(2) A B. 1 - 3 sin A cos A C. 1 + 3 sin ^(2) A cos ^(2) A D. 0

If sin x + cos x = m(ne pm 1) and sec x + cosec x = n then n in terms of m is _____.

If (3 sin theta + 5 cos theta ) = 5, prove that (5 sin theta - 3 cos theta ) = pm 3.

If sin x - sin y = a " and "cos x + cos y = b,"show that " "tan" (x+y)/2 = pm sqrt((4-a^(2)-b^(2))/(a^(2)+b^(2)))

If : cos x pm sin x =sqrt(2)*cos(x pm alpha), "then" : alpha= A) 45^(@) B) 60^(@) C) 90^(@) D) 150^(@)