Trigonometric Ratio and Identities questions
856 published questions with worked solutions.
- An aeroplane flying at a constant speed, parallel to the horizontal ground, 3 km above it, is observed at an elevation of 60°...
- Consider the following two statements. Statement p : The value of sin 120° can be divided by taking θ = 240° in the equation 2 2...
- Two poles standing on a horizontal ground are of heights 5 m and 10 m respectively. The line joining their tops makes an angle of...
- The value of sin 10° sin 30° sin 50° sin 70° is:
- For any ( 4, 2 ), the expression 3( - )^4 + 6( + )^2 + 4 ^6 equals:
- If ^4 + 4 ^4 + 2 = 4 2 ; α, β ∈ [0, π], then cos(α + β) − cos(α − β) is equal to:
- Let α and β be the roots of the quadratic equation x^2 - x( + 1) + = 0 (0 < θ < 45º), and α < β. Then _ n=0 ^ ( ^n + (-1)^n ^n )...
- The value of 2^2 2^3 2^ 10 2^ 10 is:
- If x= _ n=0 ^ (-1)^n ^ 2n and y= _ n=0 ^ ^ 2n , for 0< < 4 , then -
- The value of ^3 ( 8 ) ( 3 8 )+ ^3 ( 8 ) ( 3 8 ) is
- If y( ) = 2 + 2 3 + 4 2 + 5 + 2 , then at θ = 2, y″ + y′ + y is equal to:
- If 2 1+ 2 = 1 7 and 1- 2 2 = 1 10 , , (0, 2 ), then ( +2 ) is equal to _______.
- If sin x = − 35, where π < x < 3 2 , then 80(tan²x − cos x) is equal to:
- If the value of 3 36° + 5 18° 5 36° - 3 18° is a 5 - b c , where a, b, c are natural numbers and gcd(a, c) = 1, then a + b + c is...
- If L= ^2 ( 16 )- ^2 ( 8 ) and M= ^2 ( 16 )- ^2 ( 8 ), then :
- For all n N, 2 4 2^ n-1 equals to
- If , and are angles such that + + = , and x= +i , y= +i and z= +i , then xyz is equal to
- Given that A and B are the roots of x^2-px+q=0, then the value of ^2(A+B) is
- If + + = + + =0, then 3 + 3 + 3 equals
- If a= +i , b= +i , c= +i and bc+ ca+ ab=1, then ( - )+ ( - )+ ( - ) is equal to
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