" EXAMPLE "4" If "cos x=-(1)/(2)" and "pi

The solution set of "sin" (x - (pi)/(4))-"cos" (x + (3 pi)/(4)) =1 " and " (2 "cos" 7x)/("cos" 3 + "sin" 3) gt 2^("cos" 2x) , is

The solution set of "sin" (x - (pi)/(4))-"cos" (x + (3 pi)/(4)) =1 " and " (2 "cos" 7x)/("cos" 3 + "sin" 3) gt 2^("cos" 2x) , is

Prove that (i) cos (n + 2) x cos (n+1) x +sin (n+2) x sin (n+1) x = cos x) (ii) " cos " .((pi)/(4)-x) " cos " .((pi)/(4)-y) " - sin " ((pi)/(4)-x ) " sin " ((pi)/(4) -y) =" sin " (x+y)

Prove that (i) "cos " ((pi)/(3) +x) =(1)/(2) ( " cos " x - sqrt(3) sin x) (ii) " sin " ((pi)/(4) + x) + " sin " ((pi)/(4)-x) =sqrt(2) " cos " x (iii) (1)/(sqrt(2)) " cos ((pi)/(4) + x) = (1)/(2) " (cos x - sin x) " (iv) " cos x + cos " ((2pi)/(3) +x) + " cos " ((2pi)/(3)-x) =0

If (dy)/(dx) + (4)/(cos^2 x) y = (1)/(cos^2 x) , x in ((-pi)/(3) , pi/3) " and " y (pi/6) = 4/3 " then " y (- pi/6) equals ,

Let Q = [{: (cos ""(pi)/(4) , - sin""(pi)/(4)),(sin""(pi)/(4), cos""(pi)/(4)):}] and x = [{:((2)/(sqrt(2))),((1)/(sqrt(2))):}] then Q^(3) x is equal to

STATEMENT-1: The solution set for cos ^(-1)(cos4)>3x^(2)-4x is phi. and STATEMENT-2: The value of cos^(-1)(cos x)=2 pi-x for x in(pi,2 pi)

If x != 0 , then tan((pi)/4 + 1/2 cos^(-1) x) + tan ((pi)/4 - 1/2 cos^(-1) x) = ......

Prove that cos^-1 ((sin x + cos x )/(sqrt2)) = x - (pi/4), (pi/4) le x le ((5pi)/4)

Let P=(("cos"(pi)/(4),-"sin"(pi)/(4)),("sin"(pi)/(4),"cos"(pi)/(4))) and X=(((1)/(sqrt(2))),((1)/(sqrt(2)))) . Then P^(3)X is equal to