Use a right triangle to write the following expression as an algebraic expression. Assume that x is positive and that the given inverse trigonometric function is defined for the expression in x. sin (tan -1 6x) sin (tan -1 6x) = (Type an exact answer, using radicals as needed. Rationalize the denominator.)
Added by Magdalena R.
Close
Step 1
This means that \(\tan(\theta) = 6x\). Show more…
Show all steps
Your feedback will help us improve your experience
Adi S and 82 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
In Exercises 63–72, use a right triangle to write each expression as an algebraic expression. Assume that x is positive and that the given inverse trigonometric function is defined for the expression in x. $$ \cot \left(\sin ^{-1} \frac{\sqrt{x^{2}-9}}{x}\right) $$
Trigonometric Functions
Inverse Trigonometric Functions
Use a right triangle to write the following expression as an algebraic expression. Assume that x is positive and that the given inverse trigonometric function is defined for the expression in x. (Hint: Use sin 2θ = 2 sin θ cos θ) sin (2 cos⁻¹ 11x) sin (2 cos⁻¹ 11x) = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
Ma. Theresa A.
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD