Find the sin,cosine, and tangent of 120 degrees
Answers
Answered by
1
Find the value using the definition of tangent.tan(120°)=oppositeadjacenttan(120°)=oppositeadjacentSubstitute the values into the definition.tan(120°)=√32−12
√32(−1⋅2)32(-1⋅2)Multiply −1-1 by 22 to get −2-2.√32⋅−2√32⋅−2132⋅-21Multiply √3232 and −21-21 to get √3⋅−223⋅-22.√3⋅−22
(√3⋅−1)2(1)2(3⋅-1)2(1)Cancel the common factor.2(√3⋅−1)2⋅12(3⋅-1)2⋅1Rewrite the expression.√3⋅−113⋅-11Divide √3⋅−13⋅-1 by 11 to get √3⋅−13⋅-1.√3⋅−1Move −1-1 to the left of the expression √3⋅−13⋅-1.−1⋅√3-1⋅3Multiply −1-1 by √33 to get −1√3-13.−1√3-13Rewrite −1√3
answers −√3
√32(−1⋅2)32(-1⋅2)Multiply −1-1 by 22 to get −2-2.√32⋅−2√32⋅−2132⋅-21Multiply √3232 and −21-21 to get √3⋅−223⋅-22.√3⋅−22
(√3⋅−1)2(1)2(3⋅-1)2(1)Cancel the common factor.2(√3⋅−1)2⋅12(3⋅-1)2⋅1Rewrite the expression.√3⋅−113⋅-11Divide √3⋅−13⋅-1 by 11 to get √3⋅−13⋅-1.√3⋅−1Move −1-1 to the left of the expression √3⋅−13⋅-1.−1⋅√3-1⋅3Multiply −1-1 by √33 to get −1√3-13.−1√3-13Rewrite −1√3
answers −√3
Answered by
1
sin120 =sin(90+30)=cos30=root 3/2
cos120=c0s(90+30)=sin30=-1/2
tan120t=tan(90+30)=cot30= - root3
cos120=c0s(90+30)=sin30=-1/2
tan120t=tan(90+30)=cot30= - root3
Similar questions