Tangent Function Properties
Read this topicExplanations 3
- The Tangent Function Tangent is the ratio between sine and cosine. tan(x)=sin(x)cos(x)tan(x) = \frac{sin(x)}{cos(x)}tan(x)=cos(x)sin(x) The sine function is the numerator, whil…
By Anusha Rahman
- The Tangent Function Tangent is the TOA of SOHCAHTOA. We can think of tangent as the ratio between sine and cosine. tan (x)= sin (x) cos (x)\text{ tan }(x) = \frac{\text{ sin }(…
By Anusha Rahman
- (Video) The Tangent Function by Mister TamGoesHam In this video by Mister TamGoesHam, you will learn about the tangent function. Summary You may remember that the tangent functi…
By Anusha Rahman
Problems 24
- Which function below has a period of 4π4\pi4π?
- Suppose that an angle AAA has sinA=0.6\sin A = 0.6sinA=0.6. Find tanA\tan AtanA.
- Given the smallest positive value of xxx for which tanx∘\tan x^\circtanx∘ is undefined.
- tan(0)=?\tan(0) = ?tan(0)=?
- What is the period of the function y=tan(xπ)y = \tan(x\pi)y=tan(xπ)?
- Let xxx satisfy sin(x)=2−2\sin(x) = \sqrt{2 - \sqrt{2}}sin(x)=2−2. What is tan(x)\tan(x)tan(x)? (Hint: Use an identity to find cos(x)\cos(x)cos(x) first.)
- If , find exact values for tan(θ)\tan(\theta)tan(θ)
- If , find exact values for tan(θ)\tan(\theta)tan(θ)
- If , find exact values for tan(θ)\tan(\theta)tan(θ)
- If , find exact values for tan(θ)\tan(\theta)tan(θ)
- If , find exact values for tan(θ)\tan(\theta)tan(θ)
- If , find exact values for tan(θ)\tan(\theta)tan(θ)
- Evaluate tan(60∘)\tan(60^{\circ})tan(60∘).
- Evaluate tan(135∘)\tan(135^{\circ})tan(135∘).
- If , and θ\thetaθ is in quadrant II, find tan(θ)\tan(\theta)tan(θ).
- If , and θ\thetaθ is in quadrant II, find tan(θ)\tan(\theta)tan(θ).
- If , and θ\thetaθ is in quadrant III, find tan(θ)\tan(\theta)tan(θ).
- If , and θ\thetaθ is in quadrant I, find tan(θ)\tan(\theta)tan(θ).
- Find tan(A)\tan(A)tan(A).
- Find tan(A)\tan(A)tan(A).
- From the observation deck of the lighthouse 808080 meters above the sea, you spot two ships in the distance. The angles of depression to the ships are 10∘10^{\circ}10∘ and 25∘25…
- Is f(x)=x4+x2+4tan(x)f(x)=x^{4}+\dfrac{x^{2}+4}{\tan(x)}f(x)=x4+tan(x)x2+4 an even function?
- Is f(x)=tan(x)f(x)=\tan(x)f(x)=tan(x) an even function?
- Solve cos3(α)−sin3(α)=0\cos^3(\alpha) - \sin^3(\alpha) = 0cos3(α)−sin3(α)=0 on the interval [0,π].[0, \pi].[0,π].