What is cot(θ)tan^3(θ)+1 ?

The solution to cot(θ)tan^3(θ)+1 is sec^2(θ)

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simplify cot(θ)tan^3(θ)+1

simplify

cot (θ) tan^{3} (θ) + 1

sec^{2} (θ)

Solution steps

cot (θ) tan^{3} (θ) + 1

Use the basic trigonometric identity:

cot (x) = \frac{1}{tan ( x )}

= \frac{1}{tan ( θ )} tan^{3} (θ)

Simplify

\frac{1}{tan ( θ )} tan^{3} (θ) : tan^{2} (θ)

= tan^{2} (θ) + 1

Rewrite using trig identities

= sec^{2} (θ)

cos (4 π - x)

4 sin (- 2 x)

sin (- θ^{2})

tan (θ - 72 0^{\circ})

\frac{- 17.2057200000000 \dots}{150 sin ( θ )}