Question

Use fundamental identities and or the complementary angle theorem to find the value of the expression: tan 55°-cos 35°/sin 35°

a.) sqrt2/2
b.) sqrt3
c.) sqrt3/2
d.) sqrt2
e.) 0
f.) 1

Answer 1

notice that 55° and 35° are complementary angles, so
tan 55°-cos 35°/sin 35°
= tan55° - cot35°
= cot35° - cot35°
= 0