Trig Identities
Simplify the left side of the identity tanθ⋅cotθ=1.
What is tanθ⋅1/(tanθ)?
These are two coterminal angles (one positive, one negative) for 120∘.
What are 480∘ and −240∘?
Using the power-reducing formula, sin2u can be rewritten as this expression.
What is (1−cos2u)/2?
Show that tanθ⋅cosθ=sinθ using basic identities.
What is (sinθ)/(cosθ)⋅cosθ?
This is the supplement of the angle π/3.
What is 2π/3?
Use the sum formula to find the exact value of sin(105∘) using 60∘ and 45∘.
What is (sqrt(6)+sqrt(2))/(4)?
This identity states that (sinθ)/(cosθ)+(cosθ)/(sinθ) is equal to this product of reciprocal functions.
What is cscθ⋅secθ?
Determine the exact values of the six trigonometric functions for the angle θ in a right triangle with an adjacent side of 5 and a hypotenuse of 13.
What are sinθ=12/13,cosθ=5/13,tanθ=12/5,cscθ=13/12,secθ=13/5, and cotθ=5/12?
Use the difference formula to find the exact value of cos(165∘).
What is (sqrt(6)+sqrt(2))/(4)?
Use an identity to transform the left side of cotθ⋅sinθ=cosθ.
What is (cosθ)/(sinθ)⋅sinθ?
At the real number t=120∘, these are the values for cost and sint.
What are cos(120∘)=−1/2 and sin(120∘)=sqrt(3)/2?
The expression (tanθ+cotθ)/(tanθ)simplifies to this squared reciprocal function.
What is csc2θ?