Is this statement always, sometimes, or never true?If ∠T and ∠U are complementary angles, then cos(U)=sin(T).alwayssometimesneverSubmit
Question
Is this statement always, sometimes, or never true?If ∠T and ∠U are complementary angles, then cos(U)=sin(T).alwayssometimesneverSubmit
Solution
The statement is always true. In a right triangle, if ∠T and ∠U are complementary, then ∠T + ∠U = 90°. This means that ∠U = 90° - ∠T. The cosine of an angle is equal to the sine of its complement, so cos(U) = sin(90° - U) = sin(T). Therefore, if ∠T and ∠U are complementary angles, then cos(U) = sin(T) is always true.
Similar Questions
Is this statement always, sometimes, or never true?If ∠T and ∠U are complementary angles and m∠U is more than 55°, then sin(T)=sin(U).
Is this statement always, sometimes, or never true?If ∠X and ∠Y are acute angles in a scalene right triangle, then cos(X)=sin(Y).alwayssometimesneverSubmit
Is this statement always, sometimes, or never true?For two acute angles ∠J and ∠K, if m∠J+m∠K=90°, then sin(J)=cos(K).alwayssometimesneverSubmit
Is this statement always, sometimes, or never true?If m∠D is greater than 35°, then cos(D)=sin(D).alwayssometimesneverSubmit
Is this statement always, sometimes, or never true?If ∠L is an acute angle in an isosceles right triangle, then cos(L)=sin(L).alwayssometimesneverSubmit
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.