Express as a function of a DIFFERENT angle, 0^(@) <= theta < 360^(@). cos(74^(@)) cos(◻^(@))

Understand Co-function Identities: Understand the concept of co-function identities. Co-function identities relate the trigonometric functions of an angle to the trigonometric functions of its complement. The complement of an angle θ is (90° - θ). For cosine, the co-function identity is cos(θ) = sin(90° - θ).Apply Co-function Identity: Apply the co-function identity to cos(74°). Using the co-function identity, we can express cos(74°) as sin(90° - 74°).Calculate Complement: Calculate the complement of 74°. The complement of 74° is 90° - 74° = 16°.Write Final Expression: Write the final expression. Therefore, cos(74°) can be expressed as sin(16°).

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Express as a function of a DIFFERENT angle,
0^(@) <= theta < 360^(@).

cos(74^(@))

cos(◻^(@))

Express as a function of a DIFFERENT angle, 0^{\circ} \leq \theta<360^{\circ} . $\newline$ $\cos \left(74^{\circ}\right)$ $\newline$ $\cos \left(\square^{\circ}\right)$

View step-by-step help

Home

Math Problems

Algebra 2

Sin, cos, and tan of special angles

Full solution

Q. Express as a function of a DIFFERENT angle,

0^{\circ} \leq \theta<360^{\circ}

\newline

\cos \left(74^{\circ}\right)

\newline

\cos \left(\square^{\circ}\right)

Understand Co-function Identities: Understand the concept of co-function identities. Co-function identities relate the trigonometric functions of an angle to the trigonometric functions of its complement. The complement of an angle $\theta$ is $(90° - \theta)$ . For cosine, the co-function identity is $\cos(\theta) = \sin(90° - \theta)$ .
Apply Co-function Identity: Apply the co-function identity to $\cos(74^\circ)$ . Using the co-function identity, we can express $\cos(74^\circ)$ as $\sin(90^\circ - 74^\circ)$ .
Calculate Complement: Calculate the complement of $74°$ . The complement of $74°$ is $90° - 74° = 16°$ .
Write Final Expression: Write the final expression. $\newline$ Therefore, $\cos(74°)$ can be expressed as $\sin(16°)$ .