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                                                                     Exercise 7.4

             In Problems 1−6, simplify each expression to a single trigonometric
             function.

             1. sin2x 			                                            2. tanx sinx secx			  3. tanx
                cos2x                                                                          secx

             4. 1 − cos2x			                                         5. sec2x − 1			 6. sin2x . cot2x.

             In problems 7-24, verify the identities.

             7. (1- sinq)(1+ sinq) = cos2q		                                      8. sin q + cos q = 1 + tan q
             9. (tanq + cotq)tanq = sec2q                                                  cos q

             10. (cotq + cosecq)(tanq - sinq) = secq - cosq

             11.                                   sin q + cos q  =  cos2q        	  12.
                                                     tan2q - 1
                                                                     sinq - cosq

             13. (secq - cosq) = tanq sinq

             14.

             15. tanq + cotq) = secq cosecq
             16. (tan q + cot q) (cos q + sin q) = sec q + cosec q	

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