Question

Evaluate the following expressions. The answer must be given as a fraction, NO DECIMALS. If the answer involves a square root it should be entered as sqrt . For instance, the square root of 2 should be written as sqrt(2).If tan( theta ) = - 8/7 and sin ( theta ) < 0, then find(a) \sin( \theta ) =(b) \cos( \theta ) =(c) \sec( \theta ) =(d) \csc( \theta ) =(e) \cot( \theta ) =

Answer 1

`a) sen (\theta)=-8/√(113) \\b) cos (\theta)=7/√(113) \\c) sec (\theta)=√(113)/7 \\d)csc (\theta)=-√(113)/8 \\e) cot(\theta)=-7/8`

Explanation:

`tan (\theta)= opposite side / adjacent side = -8/7\\os=-8\\ad=7\\h=hypotenuse = √(64+49)=√(113) \\a) sen (\theta)=os / h\\b) cos (\theta)=as / h\\c) sec (\theta)=h / as\\d)csc (\theta)= h / os\\e) cot(\theta)=as/os`