In order to be prepared for class you must watch the module

In order to be prepared for class you must watch the module and complete the following activity. This is due first thing when you get to class. Check your understanding: Find the following exactly using the figure given if a = 6 and b = 7. Express your answers as unsimplified radicals when appropriate. A) sin A degree B) cos A degree C) tan A degree D) sin B degree E) cos B degree F) tan B degree Find all possible solutions to 4 cos t - sin t cos t = 0 for 0 lessthanorequalto t lessthanorequalto 2 pi. Give your answer in radians. Use trigonometric identities to solve the following exactly over 0 lessthanorequalto theta lessthanorequalto 2 pi. Give your answer in radians. a. sin^2 theta - cos^2 theta = sin theta b. tan(2 theta) + tan theta = 0 If 3 pi/2

Solution

a=6,b=7

c=sqrt(a²+b²)=sqrt85

a. Sin A=a/c=6/sqrt85

b. Cos A=b/c=7/sqrt85

c. Tan A= a/b=6/7

d. Sin B=b/c=7/sqrt85

e. Cos B=a/c=6/sqrt85

f. Tan B=b/a=7/6