Chapter1 (Q2) each function value in terms of the co-function of a complementary angle.a. \( sin 5π/8 \) b. \(cot 9π/10 \) c. \(sec146° (42)^’ \) d. \(Tan174°(03)^’ \) e. \( Cot 176.9814°\)

Solution

a. \(sin 5π/8←cos⁡(π/2+5π/8)=cos (4π-5π)/8=(-π)/8 \)

b. \(cot 9π/10←Tan⁡(π/2+9π/10)=cos (5π-9π)/10 \)=

c. \(sec146°(42)^’=csc⁡( 90°-146°(42)^’ \))=

d. \(Tan174°(03)^’=c⁡ot( 90°-174°(03)^’ \))=

e. \( Cot 176.9814°=Tan⁡〖 ( 90°-176.9814° \))=

Solution

a./(=cos (4π-5π)/8=(-π)/8=22.5 /)

b. /(=cos (5π-9π)/10=(-4π)/10=72/)

c. /(sec146° 42^’=csc⁡( 90°-146° 42^’ )=-56.7 /)

d /(. Tan174° 03^’=c⁡ot( 90°-174° 03^’ )=-84.05. /)

e. /( Cot 176.9814°= Tan⁡( 90°-176.9 /)