Question: Show that sin -1 + cos -1 = /2.

Show that sin-1 υ + cos-1 υ = π/2.

Step by Step Solution

★★★★★

3.57 Rating (164 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Let sin 1 v and cos 1 v Then sin v cos and since If v 0 ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Precalculus Questions!

Q:

To accurately approximate sin x and cos x for inclusion in a mathematical library, we first restrict their domains. Given a real number x, divide by to obtain the relation |x| = M + s, where M is an...

Q:

Show that sin(sin -1 + cos -1 ) = 1.

Q:

Using elementary geometry and the definition of sin x, cos x, we can show that for every x R i) | sin x| ii) sin(-x) = - sin x. cos(-x) = cos x, iii) sin2 x + cos2 x = 1, cos x = 1 - 2 sin2 (x/2),...

Q:

4. (a) Show that {sin 1:, cos x} and {sin ac, sinx + cos x} are two distinct pairs of linearly independent solutions of y\" + y = 0. From this we can conclude that y1,y2 are not uniquely determined...

Q:

given cos o = 6 IT LOL 3IT 2 3 2 find a . sin 1, cos e 2

Q:

Solve and show all work for 19-41 odds Section 5.5 Multiple-Angle and Product-to-Sum Formulas 413 5.5 EXERCISES See www.CalcChat.com for worked-out solutions to odd-numbered exercises. VOCABULARY:...

Q:

doublePendulum v0.6 written by Alexander Erlich (mailto:alexander.erlich@gmail.com) Last update submitted to MATLAB File Exchange on October 5th, 2010. Lagrangian and di\u001berential equations The...

Q:

doublePendulum v0.6 written by Alexander Erlich (mailto:alexander.erlich@gmail.com) Last update submitted to MATLAB File Exchange on October 5th, 2010. Lagrangian and di\u001berential equations The...

Q:

Show that (sin a cos ,8 cos y + cos a sin 1/) (cos 0: cos [3 cos y sin 0: sin y) +(cos 0: cos y sin a cos 5 sin y) (sin 05 cos [3 cos y + cos a: sin y) + (sin [3 sin y) ( sin 8 cos y) = 0

Q:

question 1 Find the partial derivative of the dependent variable with respect to each of the independent variables. Z= (3x2 + x/3)7 dz = 7(3x2 + xy3, 6(6* + 3) dzThe volume V of a right circular...

Q:

Explain the accounting policy alternatives that a company may use for assets acquired during the reporting year.

Q:

Mackenzie Mining has two operating divisions, Northern and Southern, that share the common costs of the company's human resources (HR) department. The annual costs of the HR department total...

Q:

A hospital conducted a study of the waiting time in its emergency room. The hospital has a main campus and three satellite locations. Management had a business objective of reducing waiting time for...

Q:

9. The perception of time as holistic, fluid, and unstructured is associated with the _____________ orientation toward time.

Q:

Use slopes to show that the quadrilateral whose vertices are (1, 1), (4, 1), (2, 2), and (5, 4) is a parallelogram.

Q:

Find the equation of the y-axis.

Q:

Find the equation of the x-axis.

Q:

A big pharmaceutical company, DRig, has just announced a potential cure for cancer. The stock price increased from $5 to $158 in one day. A friend calls to tell you that he owns DRig. You proudly...

Q:

the investment banker agrees to buy an entire issue of new securities from a firm and then attempt to sell the securities to the public By making alan firm commitment due diligence IPO best effort

Q:

Sammy has worked for a company with a retirement program, and today is retiring from her job with the amount of $268000 in her retirement account. She decides to withdrawal an equal amount from this...