4cosx-1 3. a) Given an equation 2sinx=: tanx Show that above equation can be expressed in the form 6cos x- cosx-2 = 0. 4cosx-1 Hence, solve the equation 2sinx=- , giving all values of x between tanx 0° and 360°.

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4cosx-1
3. a) Given an equation 2sinx=-
tanx
i)
Show that above equation can
be expressed in the form
6cos x- cosx- 2 = 0.
4cosx-1
ii)
Hence, solve the equation 2sinx=!
tanx
giving all values of x between
0° and 360°.
b) An airplane is approaching point P along a straight line and at a constant altitude I. At
3:00 pm, the angle of elevation of the airplane is 20° and at 3:01 pm it is 60°. W hat is
the altitude / of the airplane if the speed of the airplane is constant and equal to 1000
kilometres/hour?
Transcribed Image Text:4cosx-1 3. a) Given an equation 2sinx=- tanx i) Show that above equation can be expressed in the form 6cos x- cosx- 2 = 0. 4cosx-1 ii) Hence, solve the equation 2sinx=! tanx giving all values of x between 0° and 360°. b) An airplane is approaching point P along a straight line and at a constant altitude I. At 3:00 pm, the angle of elevation of the airplane is 20° and at 3:01 pm it is 60°. W hat is the altitude / of the airplane if the speed of the airplane is constant and equal to 1000 kilometres/hour?
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