The horizontal axis in this graph represents the values of a

The horizontal axis in this graph represents the values of an angle partial differential. f(partial differential) represents the trig function that is shown in the graph. i. f(theta) = ? (identify the trig function represented by f(theta) ii. State the period of f(theta) _____ iii. State the amplitude of f(theta) _____ 2. Using algebra and trig identities, show that (1/cos x) - cosx = sinx * tanx 3. Using algebra and trig identities, show that (sin^2x)/(1 - cosx) = 1 + cos x

Solution

Solution:(2)

=>(1/cosx) - cosx

= (1 - cos^2x)/cosx

= sin^2x / cosx    using identity ( sin^2 x + cos^2 x = 1)

= sinx * sinx/cosx

= sinx * tanx Hense Prove

Solution:(3)

Given (sin²x) / (1 - cosx)

= (1 - cos²x) / (1 - cox)    using identity ( sin^2 x + cos^2 x = 1)

= (1 - cosx) (1 + cosx) / (1 - cosx)

= (1 - cosx) Hense prove