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Use basic identities to simplify the expression. 1. tan x cos x 2. cot x tan x 1+ tan 2 x
1− cos2 θ
4. 5. csc 2 x
sin θ
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sin 2 u + tan 2 u + cos 2 u
7. 8. (sin x)(tan x + cot x)€
sec u
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sec 2 x csc x
10. sin x cos x tan x sec €
11. x csc x sec 2x + csc 2€x
tan x + cot x
13. 14. (sec 2 θ −1)(csc 2 θ −1) 2
sec x
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Use basic identities to simplify the expression. 1. tan x cos x 2. cot x tan x 1+ tan 2 x
1− cos2 θ
4. 5. csc 2 x
sin θ
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sin 2 u + tan 2 u + cos 2 u
7. 8. (sin x)(tan x + cot x)€
sec u
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sec 2 x csc x
10. sin x cos x tan x sec €
x csc x 11. sec 2x + csc 2€x
tan x + cot x
13. 14. (sec 2 θ −1)(csc 2 θ −1) 2
sec x
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3. cot usin u 6. cos x − cos 3 x 9. tan x
tan x
+
2
csc x sec 2 x
12. sin x cos x
1− cos 2 x
15. cos3 x + cos x sin 2 x 3. cot usin u 6. cos x − cos 3 x 9. tan x
tan x
+
2
csc x sec 2 x
12. sin x cos x
1− cos 2 x
15. cos3 x + cos x sin 2 x