Posted by **Allison** on Thursday, December 15, 2011 at 7:28pm.

Suppose è is an acute angle of a right triangle. For this function, find the values of the remaining five trigonometric functions of è. Round to four decimal places.

sin è = 0.1

cos è =

tan è =

cot è =

csc è =

sec è =

- trig (pre-cal class) -
**Willie**, Thursday, December 15, 2011 at 10:46pm
If you use a calculator with an inverse sine function, you can enter sin^-1 (0.1) = and find out what the acute angle value is. Then you can use that and plug it into the cos, tan, cot, csc, and sec functions of your calculator.

If you don't have a calculator, use this fact: (cos a)^2 + (sin a)^2 = 1.

Solve to find (cos a)^2 = 1 - (sin a)^2

so cos a = sqrt (1 - [sin a]^2) = sqrt (1 - (0.1)^2) = sqrt (1 - 0.01) = sqrt 0.99.

Then you can find tan a = sin a / cos a.

The other ratios are reciprocals. You can find formulas for them in your text and use the above results in your calculations.

## Answer this Question

## Related Questions

Pre-Cal - Suppose è is an acute angle of a right triangle. For this function, ...

trig - angle a is acute and sin = u. find the other five trigonometric functions...

math - trig - Suppose ABC is a right triangle with sides of lengths a, b, and c ...

Calc - I am having trouble with these two problems for my Calc class. I have ...

5 Pre-Calculus Questions - 1. What is the value of x in the right triangle below...

Math(Correction) - Use the given function values and trigonometric identities (...

Math Pre Cal - Find the values of the trigonometric functions of è from the ...

Algebra 2 - Can someone help me figure these out? I think if someone can explain...

Algebra 2 - Can someone help me figure these out? I think if someone can explain...

trig - Cos theta= 1/3, find the remaining trigonometric functions of the acute ...