Question

Evaluate: cos (sec s(sec(2) + arctan (-3)). Give an exact answer.

Answer 1

We have ? - tanta cer( secto) + exctan (3) = cos (sect () + tan an" ) • ascean (7) = tant la = cos (sech (C) – tan" (3) Han^(-x) = - = cos (sect(e)). Cos (tant (3)) + sin( sec (2). Sin (tan" (3) 7:"C0A(A= B) = WAA: CosB + sinA.sing From sec" (2) ; the right triangle with hypotenuse th=2 b=1 there for perpendicular p=√ 2² 12 - 3 Sec" (2) = cost (1) = sin" (3 & base 3 also from tan 153 17 2 tan" () , the right triangle with P=7&b=2 therefore haſ 721 23 - Jagth = √53. ... tant (7) = cos' ( 23 ) = sint (155) How using all the values cine ci). 4= (403(see"(. Ces (ton" (7) + (Sin (seeds) . sin kr(3) cos (65" (1)...cos fcorit () + Gin (sis"(?) fi sin(sinte) =* & Cas(1034) = *) Sin(sint (I V53 11 2 7 f N7

Solution continued Date Page Eost sec (2)) + are tan (7) 153 + = cos ( sec" (2) + aretan tan (7) - 253 2 + 713 2 53 Ans ...cos (sec(2) + 48C tan 15)