EASY
JEE Main
IMPORTANT
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The equation y=sinx·sinx+2-sin2(x+1) represents a straight line lying in:

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Important Questions on Trigonometric Ratios, Functions and Identities

MEDIUM
JEE Main
IMPORTANT
The angle of the top of a vertical tower standing on a horizontal plane is observed to be 45° from a point A on the plane. Let B be the point 30 m vertically above the point A. If the angle of elevation of the top of the tower from B be 30° , then the distance (in m) of the foot of the tower from the point A is:
EASY
JEE Main
IMPORTANT
The maximum value of 3cosθ+5sinθ-π6 for any real value of θ is :
HARD
JEE Main
IMPORTANT
If sin4α+4cos4β+2=42sinαcosβ, α, β0,π, then cosα+β-cosα-β is equal to
EASY
JEE Main
IMPORTANT
If an angle A of a ΔABC satisfies 5cosA+3=0, then the roots of the quadratic equation 9x2+27x+20=0 are
EASY
JEE Main
IMPORTANT
The angle of elevation of the top of a vertical tower from a point A, due east of it is 45o . The angle of elevation of the top of the same tower from a point B, due south of A is 30o . If the distance between A and B is 542m , then the height of the tower (in meters), is:
HARD
JEE Main
IMPORTANT
If A>0, B>0 and A+B=π6, then the minimum positive value of tanA+tanB is :
EASY
JEE Main
IMPORTANT
Let P=θ:sinθ-cosθ=2cosθ and Q=θ:sinθ+cosθ=2sinθ, be two sets. Then
EASY
JEE Main
IMPORTANT
In a ΔABCab=2+3, and C=60°. Then the ordered pair (A,B) is equal to: