Trigonometric Ratio and Identities questions
856 published questions with worked solutions.
- The expression A 1- A + A 1- A can be written as -
- The value of 10° - 3 10° is equal to:
- If ^2 48^ - ^2 12^ ^2 24^ - ^2 6^ = + 5 2 , where , N , then + is equal to _____.
- Let ( + ) = - 1 10 and ( - ) = 3 8 , where 0< < 3 and 0< < 4 . If 2 = 3(1-r 5 ) 11 (s+ 5 ) , r,s N, then r+s is equal to ____ .
- Let and respectively be the maximum and the minimum values of the function f( ) = 4 ( ^4 ( 7 2 - )+ ^4(11 + ) )-2 ( ^6 ( 3 2 - )+...
- Let 2 < < and = - 1 2 2 . Then the value of ( 150 2 )( 8 + 8 ) + ( 150 2 )( 8 - 8 ) is equal to :
- The value of 3 cosec 20^ - 20^ 20^ 40^ 60^ 80^ is equal to
- If x = 5 12 for some x ( , 3 2 ), then 7x ( 13x 2 + 13x 2 ) + 7x ( 13x 2 - 13x 2 ) 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), x n 2 , n Z, where Sgn (t)= cases 1, &...
- Let the range of the function f(x) = 6 + 16 x ( 3 -x ) ( 3 +x ) 3x 6x, x R be [ , ]. Then the distance of the point ( , ) from...
- The value of (sin70°)(cot10°cot70° – 1) is
- If _ r=1 ^ 13 1 ( 4 +(r-1) 6 ) ( 4 + r 6 ) =a 3+b, a, b ∈ Z, then a^2+b^2 is equal to:
- If x + ^2x = 1, x (0, 2 ), then ( ^ 12 x + ^ 12 x) + 3( ^ 10 x + ^ 10 x + ^8x + ^8x) + ( ^6x + ^6x) is equal to
- If y = ( 3 + ^ -1 x 2 ), then (x - y)^2 + 3y^2 is equal to
- If 10 ^4 + 15 ^4 = 6, then the value of 27 ^6 + 8 ^6 16 ^8 is
- If f(x)= ( x), then f(x)f(y)- 12 [f ( x y )+f(xy) ] has the value
- If f(x)= ( x), then the value of f(xy)+f(x/y)-2f(x) ( y) is
- Let f( )= ( + 3 ). Then f( ) is
- If ^2 =2 ^2 +1, then find the value of 2 + ^2 .
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