Match each expression with an equivalent expression sin2u a

Match each expression with an equivalent expression.

sin²u

(a) 1 + cot²u

b) 1 cos²u

c) 1 + tan²u

sec²u

a) 1 + cot²u

b) 1 cos²u

c) 1 + tan²u

csc²u

a) 1 + cot²u

b) 1 cos²u

c) 1 + tan²u

Solution

sin²u:

sin^2u + cos^2u =1

sin^2u = 1- cos^2u

Option a

(a) 1 + cot²u

b) 1 cos²u

c) 1 + tan²u

sec²u

sec^2u = 1+ tan^2u

Option c

a) 1 + cot²u

b) 1 cos²u

c) 1 + tan²u

csc²u

csc²u = 1+cot^2u

Option A

a) 1 + cot²u

b) 1 cos²u

c) 1 + tan²u