Simplify the identity:
\$ (csc(x) - sin(x) )/cot(x) =cos(x) \$

A) tan(x)

B) sin(x)

C) cos(x)

D) cot(x)

Find the value of θ if \$cot (θ/2) = tan (θ/2 - π/12) \$ using cofunction identities.

A) \$ (2pi)/12 \$

B) \$ (5pi)/12 \$

C) \$ (9pi)/12 \$

D) \$ (7pi)/12 \$

Simplify the identity:
\$ \sqrt( (1+cosA)/(1-cosA)) \$

A) sinA + cotA

B) cscA + cotA

C) cosA + cotA

D) cscA + sinA

Prove the identity
\$ (tan^2A (cscA - 1))/(1 + cosA) = csc^2A ((1 - cosA)/(1 + cscA) ) \$.

A) Proved

B) Not proved

C) 0

D) Intifinty

If \$ tan( π/2−x) + cot( π/2−x) = 2\$, what is the value of cotx?

A) 1

B) 0

C) 2

D) \$ 1/2 \$

Simplify the expression:
\$(4 cos ((3pi)/2 − \theta) − 4 )/ (5 - 5sin (−\theta))\$

A) \$-5/4\$

B) \$- 4/5\$

C) \$5/4\$

D) \$4/5\$

Simplify the expression:
\$ ((1+ sec(\theta)) / (sin(\theta))) + ((1 - csc(\theta))/cos(\theta)) \$.

A) \$sin(\theta) + csc(\theta)\$

B) \$sec(\theta) + csc(\theta)\$

C) \$sec(\theta) + cos(\theta)\$

D) \$sin(\theta) + cos(\theta)\$

Use cofunction identities to prove that
\$tan(pi/2 - \theta) = cosx / sinx\$.

A) Not Proved

B) 0

C) Proved

D) Intifinty

Find the value of θ if \$cosθ = sin (θ/2 + ((3π)/12))\$ using cofunction identities.

A) \$ pi/3 \$

B) \$ pi/4 \$

C) \$ pi/6 \$

D) \$ pi/2 \$

If \$ sinθ = 12/13\$ and \$ cosθ = 28/39\$, what is the value of tanθ?

A) \$ 18/13\$

B) \$ 7/9\$

C) \$ 13/18 \$

D) \$ 9/7\$