University:
Victor Valley College
Course:
MATH 104 | Trigonometry
Academic year:

2024
Views:

205

Pages:

5
Author:

Kaylee Wiswell

This is the week8 Math104 YouTube Video Journal Assignment Kaylee Wiswell Name_______________________________ Answer the following questions. Watch Week8 (video8a) – Proving [Verifying] Trig Identities - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Tips: 1) Know your identities 2) Start with the more complicated side. 3) Rewrite the question by using sinϴ and cosϴ 4) Factor or multiply by a form of 1 __________________________________________________________________________________________________ 1) Verify [Prove] the identity. 2) Verify [Prove] the identity. 3) Verify [Prove] the identity. 4) Verify [Prove] the identity. Watch Week8 (video8b) – CoFunction Identities - - -- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 1) Use the Triangle below to find sinϴ and then find cosβ Note: sinϴ = cos(90° - ϴ) 2) Rewrite the List of Cofunction Identities “the other way” [See video] 3) Rewrite by using the Cofunction Identities. Watch Week8 (video8c) – CoFunction Identities - - -- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 1) Use the Sum formula to find sin(75°) 7 2) Use the Sum formula to find cos(12 𝜋) [Show all work from video] 1 𝜋) 12 3) Use the Difference formula to find Tan( [Show all work from video] 23 4) Use the Sum formula to find Tan(12 𝜋) [Show all work from video] Watch Week8 (video8d) – Double Angle Identities - - -- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 1a) Build a Triangle for sinϴ = 3 5 then find cosϴ and tanϴ ϴ ! 1b) Find sin(2ϴ), cos(2ϴ), and tan(2ϴ) from the triangle constructed above. 2a) Build a Triangle for cosϴ = 5 13 in Quadrant IV, then find sinϴ and tanϴ ϴ 2b) Find sin(2ϴ), cos(2ϴ), and tan(2ϴ) from the triangle constructed above. 3) Use the Identities to find the exact value of 2·sin(75°)·cos(75°) 4) Use the Identities to find the exact value of 5) Use the Identities to find the exact value of 𝑐𝑜𝑠 2 (15°) − 𝑠𝑖𝑛2 (15°) 2·tan(22.5°) 1 − 𝑡𝑎𝑛2(22.5°)