Trigonometric Identities
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Trigonometric Identities 1. Show that tan x cos x = sin x 2. Show that sin x = cos x tan x 3. Show that tan x 1 = sin x cos x 4. Show that sin 2 x = sin x cos x tan x 1 - cos 2 A 5. Show that = tan 2 A 2 cos A 6. Show that 1 - sin 2 A = 1 cos 2 A 7. Show that (cos x + sin x)2 = 1 + 2sin x cos x 8. Show that (cos x + sin x)(cos x – sin x) + 2sin2 x = 1 9. Show that sin3 x + sin x cos2 x = sin x 10. Show that cos2 x sin2 x + cos4 x = cos2 x 11. Show that sin x = tan x cos x + cos x sin 2 x 12. Show that tan2 x cos2 x = 1 – cos2 x 13. If sin x = 3 5 14. If sin x = 5 13 and cos x = 12 13 show that tan x = 15. If sin x = 24 25 and cos x = 7 25 show that tan x = 3 and cos x = 4 5 show that tan x = 3 4 5 12 24 7
