If sinA/3 = sinB/4 = 1/5 and A and B are the angles in the second quadrant, then prove that 4 cosA + 3 cosB = -5


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If cos x + sin x = √2 sin x,
show that cos x - sin x = √2 sin x

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if cosec θ - sin θ = x^3, sec θ - cos θ = y^3 show that x^2 y^2 ( x^2 y^2 ) = 1..


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1 - sec θ + tan θ / 1 + sec θ + tan θ = sec θ + tan θ - 1 / sec θ + tan θ + 1


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A body is projected at t = 0 with a velocity 10ms at an angle of 60° with the horizontal. The radius of curvature of its trajectory at t = Is is R. Neglecting air resistance and taking acceleration due to gravity g = 10ms, the value of R is..


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A particle is moving along the x-axis with its coordinate with time 't' given by x(t)=10+8t-3t. Another particle is moving along the y-axis with its coordinate as a function of time given by y(t)=5-8t. At t-is, the speed of the second particle as measured…

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A particle of mass m is projected with a speed u from the ground at an angle =w.r.t. horizontal (x-axis). When it has reached its maximum height, it collides completely inelastically with another particle of the same mass and velocity ul. The horizontal distance…

A ball of mass m is thrown vertically upward. Another ball of mass 2m is thrown at an angle & with the vertical. Both the balls stay in air for the same period of time. The ratio of the heights attained by the 1/2 two balls respectively is The value of x…

A projectile is launched at an angle 'α' with the horizontal with a velocity 20ms After 10s, its inclination with horizontal is 'β'. The value of tanβ will be (g = 10ms^-2)


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