Tan, cot, sec, and csc, calculated from trig identities. Once you know the value of sine and cosine, you can use the following trigonometric identities to obtain the values of the other four functions: Tangent is the sine-to-cosine ratio tan(α) = sin(α)/cos(α) Cosecant is the re...
Trig identities are notoriously difficult to memorize: here’s how to learn them without losing your mind. Starting from the Pythagorean Theorem and similar triangles, we can find connections between sin, cos, tan and friends (read the article on trig). Can we go deeper? Maybe we can ...
sin(θ)=513sin(θ)=513 Find the value ofcosine. Tap for more steps... Use the definition ofto find the value ofcos(θ). cos(θ)=adjhyp cos(θ)=1213 cos(θ)=1213cos(θ)=1213 Find the value oftangent. Tap for more steps... ...
And sometimes that seems to be the only way to do the proof for some identities: work on the two sides until they meet in the middle, and then write something that looks like magic. I'm going to start with the lhs, work down to where the two sides meet, and then work up the ...
All integrals of inverse trig functions have the first term to be " x times the given function". For example, ∫ sin-1x dx = x sin-1x + ... The integrals of tan-1x, cot-1x, csc-1x and sec-1x all have "ln" in it. The integrals of sin-1x and cos-1x differ only in...