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How do you solve trigonometric equations?

To help explain we will use the following example: Show that cos(2x) = 2cos 2 x - 1. Hence solve the equation cos(2x) + cosx = 0 for 0 o < x < 360 o . Answer: We know from our sum-difference formulas t...
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Answered by Jessica Y. • Maths tutor
5564 Views

A particle of weight 15N is resting on a plane inclined at an angle of 30°. Find : a) the normal force exerted on the particle, b) the coefficient of friction between the particle and the plane, providing it is in limiting equilibrium

The normal force can be calculated using cos(30)x weight = 12.99N From the equation F=μN, μ can be calculated as F/N and as it is at rest F is equal to component of weight parallel to the plane Therefore, F=...
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Answered by Tamara H. • Maths tutor
3701 Views

d/dx ( sin x) ^3

3(sin x) ^2 cos x
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Answered by Oscar G. • Maths tutor
3564 Views

differentiate y = 4x^3(12e^-4x) with respect to x

y = 4x 3 e -4x u = 4x 3 v = e -4x du/dx = 12x 2 dv/dx = -4e -4x using the product rule; vdu +udv vdu + udv = 12x 2 e -4x - 16x 3 e -4x
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Answered by Lewis M. • Maths tutor
3950 Views

(A) express 4^x in terms of y given that 2^x = y. (B) solve 8(4^x ) – 9(2^x ) + 1 = 0

(A) express 4 x in terms of y given that 2 x = y. we know that 2 2 = 4. so 4 x = 2 2^x = (2 x ) 2 = y 2 .so whenever you have 2 C^D it doesnt matter which order you solve. you can do (2 C ) D or (2 D ) C ( B...
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Answered by Sadat T. • Maths tutor
36091 Views