Trigonometr

Calculating Angles from Ratios (Words to -1 Notation) (Level 1)

This math topic focuses on trigonometry, specifically how to calculate angles from given trigonometric ratios using inverse notation (indicated by -1). The problems involve presenting a trigonometric function value (cosine, sine, or tangent) and asking the learner to determine the corresponding angle using inverse trigonometric functions, which is represented in various mathematical expressions as answers.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

more

Calculating Angles from Ratios (Words to -1 Notation)

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.

How would you calculate the angle using -1 notation?

\alpha\text{ has a sin of }0.961

Earned ?

Trigonometry - Calculating Angles from Ratios (Words to -1 Notation) Worksheet

Math worksheet on 'Trigonometry - Calculating Angles from Ratios (Words to -1 Notation) (Level 1)'. Part of a broader unit on 'Trigonometry Fundamentals - Intro' Learn online: app.mobius.academy/math/units/trigonometry_fundamentals_intro/

How would you calculate the angle using -1 notation?

$A LaTex expression showing \alpha\text{ has a cos of }0.515$

a $A LaTex expression showing \alpha = \text{cos}(0.515) - 1$

b $A LaTex expression showing \alpha = 1 over \text{acos (0.515)}$

c $A LaTex expression showing \alpha = 1 over \text{cos to the power of -1 (0.515)}$

d $A LaTex expression showing \alpha = \text{cos} to the power of -1 (0.515)$

How would you calculate the angle using -1 notation?

$A LaTex expression showing \alpha\text{ has a sin of }0.799$

a $A LaTex expression showing \alpha = 1 over \text{asin (0.799)}$

b $A LaTex expression showing \alpha = \text{sin}(0.799) - 1$

c $A LaTex expression showing \alpha = 1 over \text{sin to the power of -1 (0.799)}$

d $A LaTex expression showing \alpha = \text{sin} to the power of -1 (0.799)$

How would you calculate the angle using -1 notation?

$A LaTex expression showing \alpha\text{ has a sin of }0.996$

a $A LaTex expression showing \alpha = \text{sin} to the power of -1 (0.996)$

b $A LaTex expression showing \alpha = 1 over \text{asin (0.996)}$

c $A LaTex expression showing \alpha = \text{sin}(0.996) - 1$

d $A LaTex expression showing \alpha = 1 over \text{sin to the power of -1 (0.996)}$

How would you calculate the angle using -1 notation?

$A LaTex expression showing \alpha\text{ has a sin of }0.899$

a $A LaTex expression showing \alpha = 1 over \text{sin to the power of -1 (0.899)}$

b $A LaTex expression showing \alpha = 1 over \text{asin (0.899)}$

c $A LaTex expression showing \alpha = \text{sin} to the power of -1 (0.899)$

d $A LaTex expression showing \alpha = \text{sin}(0.899) - 1$

How would you calculate the angle using -1 notation?

$A LaTex expression showing \alpha\text{ has a cos of }0.545$

a $A LaTex expression showing \alpha = \text{cos} to the power of -1 (0.545)$

b $A LaTex expression showing \alpha = 1 over \text{cos to the power of -1 (0.545)}$

c $A LaTex expression showing \alpha = \text{cos}(0.545) - 1$

d $A LaTex expression showing \alpha = 1 over \text{acos (0.545)}$

How would you calculate the angle using -1 notation?

$A LaTex expression showing \alpha\text{ has a tan of }3.078$

a $A LaTex expression showing \alpha = 1 over \text{atan (3.078)}$

b $A LaTex expression showing \alpha = \text{tan}(3.078) - 1$

c $A LaTex expression showing \alpha = \text{tan} to the power of -1 (3.078)$

d $A LaTex expression showing \alpha = 1 over \text{tan to the power of -1 (3.078)}$

How would you calculate the angle using -1 notation?

$A LaTex expression showing \alpha\text{ has a tan of }1.28$

a $A LaTex expression showing \alpha = 1 over \text{tan to the power of -1 (1.28)}$

b $A LaTex expression showing \alpha = \text{tan}(1.28) - 1$

c $A LaTex expression showing \alpha = \text{tan} to the power of -1 (1.28)$

d $A LaTex expression showing \alpha = 1 over \text{atan (1.28)}$