Question
use the cofunction identities to find an angle 0 that makes the statement true. #26
Use the fundamental identities to simplify the 20) tan sec e tan x Decide whether the expression is or is not an identity 22)1- cos2x-1- cos x Use Identities to find the exact v 23) cos 165° COS(435 + ()- 8 -24) cos 36° cos 24° - sin 36° sin 24° Write in terms of the cofunction of a complementary angle. 25) tan 7640-10 Use the cofunction identities to find an angle 0 that makes the statement true 26) sec (60 + 170) cSc (20- 7°) Tell whether the statement is true or false. 27) cos 37 cos 13°cos 24° - sin 13°sin 24 cos?" cos Use a sum or difference identity to find the exact yalue. 10 28) tan 12 6 tan 20° + tan 10° 1- tan 20° tan 10° Find the exact value of the expression using the provided inform with s in quadrant riven that gos-85
Explanation / Answer
26) We have given sec(6*theta+170)=csc(2*theta-70)
using cofunction identity sec(6*theta+170)=csc(90-(6*theta+170))
plug this sec(6*theta+170)=csc(90-(6*theta+170)) into given equation
csc(90-(6*theta+170))=csc(2*theta-70)
90-(6*theta+170)=2*theta-70
90-17+7=8*theta
80=8*theta
theta=80/8=10 degrees
An angle theta=100 that makes the statement true