Trigonometric Ratio and Identities questions
856 published questions with worked solutions.
- If A+ B+ C=0, A+ B+ C=0 and A+B+C=180^ , then the value of 3A+ 3B+ 3C is
- If +2 +3 = +2 +3 =0 and + + =n , then 3 +8 3 +27 3 =
- If is a root of 25x^2+5x-12=0, -1<x<0. Then the value of 2 is
- If x+iy= 1 1+ +i , then find 4x^2.
- Let = _ x R 8^ 2 3x 4^ 4 3x and = _ x R 8^ 2 3x 4^ 4 3x . If 8x^2+bx+c=0 is a quadratic equation whose roots are ^ 15 and ^ 15 ,...
- cosec 18^ is a root of the equation
- If ( 18 ) ( 5 18 ) ( 7 18 ) = K, then the value of ( 10K 3 ) is:
- If A = 3° 9° + 9° 27° + 27° 81° and B = 81° - 3°, then BA is equal to _______.
- Let tanA, tanB, where A,B∈(−π/2,π/2), be the roots of the quadratic equation x²−2x−5=0. Then 20 ^2 ( A+B 2 ) is equal to:
- If 15 ^4 +10 ^4 =6, for some R, then the value of 27 ^6 +8cosec^6 is equal to :
- Let in a right angled triangle, the smallest angle be . If a triangle formed by taking the reciprocal of its sides is also a...
- Two vertical poles are 150 m apart and the height of one is three times that of the other. If from the middle point of the line...
- If a_1,a_2, ,a_n are in AP with common difference d 0, then ( d) [ a_1 a_2+ a_2 a_3+ + a_ n-1 a_n ] is equal to
- If a_1,a_2, ,a_n are in AP with common difference d, then the sum of the series d ( cosec a_1 cosec a_2+ cosec a_2 cosec a_3+ +...
- Sum of first n terms in the series ^ -1 3+ ^ -1 7+ ^ -1 13+ ^ -1 21+ is given by
- If 1+ + ^2 + =2- 2, , (0< < ) is
- If, for 0<x< /2, y= [ ( ^2x+ ^4x+ ^6x+ ) _e2 ] is a zero of the quadratic equation x^2-9x+8=0, then the value of x+ x x- x , is
- If p=e^ ( ^2x+ ^4x+ ^6x+ ) _e2 , 0<x< 2, satisfies the equation x^2-17x+16=0, find x+ x x- x .
- If 0< , < 2, x= _ n=0 ^ ^ 2n , y= _ n=0 ^ ^ 2n and z= _ n=0 ^ ^ 2n ^ 2n then
- If + = 1 2 , then 16( (2 )+ (4 )+ (6 )) is equal to :
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