Right Triangle Trigonometry ATLAS Practice

Similar right triangles ABC and ADE are shown. AC and CE are 5, CB is 12 and AB is 13. What is sin(D)?

Mathematical Equivalence

ON

Tags

CCSS.HSG.SRT.A.2

Triangles PQR and TSR are similar, RS = 24, RT = 26, and ST = 10. What is cos(P)?

Mathematical Equivalence

ON

Tags

CCSS.HSG.SRT.A.2

In right triangle PQR, angle Q is a right angle. What is the exact value of cos(P)?

Mathematical Equivalence

ON

Tags

CCSS.HSG.SRT.C.7

• 65

• 25

• 90

• 0

Tags

CCSS.HSG.SRT.C.7

Right triangle STU is shown. Which equation must be true?

• cos(S) = cos(U)

• cos(S) = sin(S)

• cos(S) = sin(U)

• sin(S) = sin(U)

Tags

CCSS.HSG.SRT.C.7

• r/s

• s/r

• s/t

• t/s

Tags

CCSS.HSG.SRT.C.7

Some trigonometric ratios for are shown Complete the sentence to show the relationship between the angles.

Angle J and angle L (a)   complementary because (b)   =​ (c)   .

• may be

• are
• sin(L)
• cos(J)
• are not
• sin(J)

Tags

CCSS.HSG.SRT.C.7

An equation is shown, where 0 < x < 90. sin(x) = 1/3. Which equation must be true?

• cos(x) = 2/3

• cos(x) = 3

• cos(90 - x) = 1/3

• sin(90 - x) = 2/3

Tags

CCSS.HSG.SRT.C.7

Similar triangles QRS and TUV are shown. sin(S)= 0.5, cos(S)= 0.886

What is the value of cos(T)?

• 1

• 0.886

• -1

• 0.5

Tags

CCSS.HSG.SRT.C.7

Angles X and Y are complementary angles.

sin(X) = k

sin(Y) = b

What is tan(Y)?

Mathematical Equivalence

ON

Tags

CCSS.HSG.SRT.C.7