Trigonometric Ratios & Identities: JEE Questions & Solutions

The value of 10^ - 3 10^ is equal to:

If ^2 48^ - ^2 12^ ^2 24^ - ^2 6^ = + 52, where, N, then the value of + is.

Let and respectively be the maximum and the minimum values of the function f() = 4 ( ^4 ( 7 2 -) + ^4(11 +)) - 2 ( ^6 ( 3 2 -) + ^6(9 -)).…

The sum of all the real solutions of the equation (x+3)(6x^2 + 28x + 30) = 5 - 2 (6x+10)(x^2 + 6x + 9) is equal to

The least value of ( ^2 - 6 + 3 ^2 + 2) is

Let 2 < < and = - 12 2. Value of expression involving 15 2 and 8.

The value of 3 20^ - 20^ 20^ 40^ 60^ 80^ is equal to

If x= 512 for some x (, 3 2), then 7x ( 13x2+ 13x2) + 7x ( 13x2- 13x2) is equal to

If (A-B) A+ ^2 C ^2 A=1, A,B,C (0, 2), then:

The sum of all the elements in the range of f(x)= sgn( x)+ sgn( x) + sgn( x)+ sgn( x), where x n 2, n Z, sgn(t)= cases 1,& t0 -1,& t<0…

The value of ( 70^)( 10^ 70^ - 1) is:

If r=1^13 1 4 + (r-1) 6 4 + 6 = a 3 + b, a, b Z, then a^2 + b^2 is equal to:

Let M and m respectively be the maximum and the minimum values of f(x) = 1 + ^2 x ^2 x + 4 4x ^2 x ^2 x for x R Then M^4 - m^4 is equal to:

If x + ^2 x = 1, x (0, 2), then the expression ( ^2 x + ^2 x) + 3( ^4 x + ^4 x + ^4 x + ^4 x) + ( ^6 x + ^6 x) is equal to:

If 10 ^4 + 15 ^4 = 6, then the value of 27 ^6 + 8 ^6 16 ^8 is:

Let the set of all a in R such that the equation (2x) + a (x) = 2a - 7 has a solution be [p, q], and r = (9^) - (27^) - 1 (63^) + (81^).…

The sum of the solutions x R of the equation 3 (2x) + ^3(2x) ^6(x) - ^6(x) = x^3 - x^2 + 6 is:

For, (0, /2), let 3 ( +) = 2 ( -), and a real number k be such that = k. Then the value of k is equal to:

If 2 ^3 x + ^2 x x + 4 ^n x - 4 = 0 has exactly 3 solutions in the interval (0, n /2), n N, then the roots of the equation x^2 + nx + (n-3)…

The number of solutions of the equation 4 ^2 x - 4 ^3 x + 9 - 4 x = 0, for x [-2, 2 ], is:

Section – B The value of 9^ - 27^ - 63^ + 81^ is:

Let f(x) = x + x - 2 x - x, where x [0, ], and x [0, 4 ]. Then f ( 7 12) is equal to: