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Identidades Trigonometricas II

Total questions: 8

Worksheet time: 8mins

Name
Class
Date
1.

 Reduce     sec(x)csc(x)cot(x)Reduce\ \ \ \ \ \sec\left(x\right)\csc\left(x\right)-\cot\left(x\right)  

a)

sen(x)

b)

cos(x)

c)

tan(x)

d)

cot(x)

2.

 Simplificar     sen (x)+cos (x)1sen² (x)Simplificar\ \ \ \ \ \frac{sen⁴\ \left(x\right)+\cos⁴\ \left(x\right)-1}{sen²\ \left(x\right)}  

a)

 cos²(x)-\cos²\left(x\right)  

b)

 sen²(x)-sen²\left(x\right)  

c)

 2sen²(x)-2sen²\left(x\right)  

d)

 2cos²(x)-2\cos²\left(x\right)  

3.

 Si sec(x)+tan(x)=23    Calcule   sec(x)tan(x)Si\ \sec\left(x\right)+\tan\left(x\right)=\frac{2}{3}\ \ \ \ Calcule\ \ \ \sec\left(x\right)-\tan\left(x\right)  

a)

2/3 

b)

3/2

c)

5/2

d)

5/3

4.

 (1+sen(x)+cos(x))²(1+sen(x))(1+cos(x))\frac{\left(1+sen\left(x\right)+\cos\left(x\right)\right)²}{\left(1+sen\left(x\right)\right)\left(1+\cos\left(x\right)\right)}  

a)

1

b)

2

c)

1/2

d)

4

5.

 Si  sec² (x)csc² (x)sec² (x)=9Si\ \ \sec²\ \left(x\right)\csc²\ \left(x\right)-\sec²\ \left(x\right)=9  

a)

9

b)

3

c)

1/3

d)

1/9

6.

 Si     tan(x)+cot(x)=4Si\ \ \ \ \ \tan\left(x\right)+\cot\left(x\right)=4  
 Calcule   sec²(x)csc²(x)Calcule\ \ \ \sec²\left(x\right)\csc²\left(x\right)  

a)

2

b)

4

c)

8

d)

16

7.

 Reduce   sec²(x)+csc²(x)sec²(x)Reduce\ \ \ \frac{\sec²\left(x\right)+\csc²\left(x\right)}{\sec²\left(x\right)}  

a)

 sen²(x)sen²\left(x\right)  

b)

 cos²(x)\cos²\left(x\right)  

c)

 tan²(x)\tan²\left(x\right)  

d)

 csc²(x)\csc²\left(x\right)  

8.

 ReduceReduce  
 (sec(x)csc(x)cot(x))²+1\left(\sec\left(x\right)\csc\left(x\right)-\cot\left(x\right)\right)²+1  

a)

 sen²(x)sen²\left(x\right)  

b)

 cos²(x)\cos²\left(x\right)  

c)

 tan²(x)\tan²\left(x\right)  

d)

 sec²(x)\sec²\left(x\right)