Sunday
April 20, 2014

Homework Help: Inverse trigonometric function

Posted by Jen on Sunday, April 8, 2007 at 11:38am.

How to solve without calculator

1. sin(arctan(12/5))


2. cos(arccosx + arcsinx)

Thanks.

You have to know your right triangles.
5 12 13 is one. If the tan is 12/5, then the sin is 5/13. Draw a pic to confirm that.

On the second: Think. Draw any right triangle. Label the angles. Label the hypotenuse as 1, and the one sides as x. The other side will be sqrt (1-x^2). Notice the angle whose sine is x is teh complement of the angle whose cosine is x. Does that mean those two angles add to ninety degrees?



can't we do it by taking u=arctan(12/5)

no. arctan(12/5) is not equal to what you started out with.

Answer this Question

First Name:
School Subject:
Answer:

Related Questions

Math - Evaluate *Note - We have to find the exact value of these. That I know to...
Math - Find the exact value of the trigonometric function given that sin u = 5/...
Math - Find the exact value of the trigonometric function given that sin u = 5/...
Inverse Functions & Trig. Equations - 7. Evaluate sin[sin^-1(-1/2)]. a. 1/2 b...
MathsSs triG - Consider sin(x-360)sin(90-x)tan(-x)/cos(90+x) 1.A.SIMPLIFY sin(x-...
trig help much appreciated! :)) - 1. Find the complete exact solution of sin x...
Trigonometry - I need help with I just can't seem to get anywhere. this is as ...
trig - give the exact real number value without using a calculator sin[(cos^-1)(...
math trigg. - which triangles do you use COS SIN or TAN?? You can use these ...
Trig - Given: cos u = 3/5; 0 < u < pi/2 cos v = 5/13; 3pi/2 < v < ...

Search
Members