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TRIGONOMETRÍA<br />

a)<br />

2<br />

Sen x b)<br />

2<br />

Cos x c)<br />

2<br />

Tg x d)<br />

2<br />

Ctg x e)<br />

2<br />

Sec x<br />

Tg θ + Ctg θ + m Sen<br />

3<br />

θ + Cos<br />

3<br />

θ<br />

=<br />

3<br />

16. Si :<br />

Tg θ + Ctgθ + 2<br />

[ Sen θ + Cosθ]<br />

Calcular el valor de “ m “<br />

a) 0 b) 1 c) – 1 d) 2 e) – 2<br />

17. Simplificar :<br />

(Cos<br />

3<br />

x.Sec<br />

2<br />

x + Tgx.Senx)Cscx<br />

E =<br />

Ctgx.Senx<br />

a)<br />

2<br />

Csc x b)<br />

8<br />

Sec x c) Secx.Csc x d) Secx.Ctgx e)<br />

2<br />

Sec x.Csc x<br />

18. Si :<br />

3 π<br />

θ ∈ , π<br />

4<br />

Reducir :<br />

2 2<br />

J = 1+ + 1−<br />

Tgθ + Ctgθ Tgθ + Ctgθ<br />

a) 2Senθ b) −2Cosθ c) −Tgθ d) 2Cosθ e) 2(Senθ + Cos θ )<br />

19. Si :<br />

4 4 1<br />

Sen θ − Cos θ =<br />

3<br />

Calcular : E = Sec<br />

2<br />

θ .(1 + Ctg<br />

2<br />

θ )<br />

a) 2 b) 4 c) 7/2 d) 9/2 e) 5<br />

20. Simplificar : R = (Senx + Cosx)(Tgx + Ctgx) − Secx<br />

a) Senx b) Cosx c) Ctgx d) Secx e) Cscx<br />

21. Reducir : H = (Secx − Cosx)(Cscx − Senx)(Tgx + Ctgx)<br />

a) 1 b) 2 c) 3 d) 0 e) 4<br />

22. Si : Tgθ = 7 − Ctgθ<br />

2 2<br />

Calcular : E = Sec θ + Ctg θ<br />

a) 43 b) 3 5 c) 3 7 d) 4 3 e) 4 5<br />

23. Reducir :<br />

Sec<br />

2<br />

x + Csc<br />

2<br />

x + Sec<br />

2<br />

x.Csc<br />

2<br />

x<br />

E = + Tg<br />

2<br />

x<br />

2Sec<br />

2<br />

x.Csc<br />

2<br />

x<br />

a) Tgx b)<br />

2<br />

2Tg x c) Senx d)<br />

2<br />

Sec x e)<br />

2<br />

Sen x<br />

24. Reducir :<br />

(1 − Senx + Cosx)<br />

2<br />

(1 + Senx)<br />

H =<br />

Senx.Cosx(1 + Cosx)<br />

CUESTIONARIO DESARROLLADO

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