Friday

November 28, 2014

November 28, 2014

Posted by **Anonymous** on Sunday, October 27, 2013 at 3:28pm.

Tan A+ CotA to cscAsecA

- Pre-Calculus -
**Jai**, Sunday, October 27, 2013 at 4:30pmSo we must transform tan(A) + cot(A) into csc(A)*sec(A).

tan(A) + cot(A)

Note that cot(A) is equal to 1/tan(A). Substituting,

= tan(A) + 1/tan(A)

= (tan^2 (A) + 1) / tan(A)

Recall the pythagorean identity: tan^2 (A) + 1 = sec^2 (A). Also tan(A) = sin(A)/cos(A) and sec(A) = 1/cos(A). Substituting,

= sec^2 (A) / tan(A)

= sec^2 (A) * cos(A) / sin(A)

= sec(A) / sin(A)

Finally, 1/sin(A) = csc(A). Thus,

= sec(A) * csc(A)

Hope this helps~ :3

**Answer this Question**

**Related Questions**

trig - transform the expression on left to one on right csc x-sin x to cot x cos...

trig - I do not understand these problems. :S I'd really appreciate the help. ...

pre calculus - Simplify and write the trigonometric expression in terms of sine ...

Pre Calculus - Pre Calculus why is sin(-20)/cos 380 equal to tan (-200)

mathematics trignometry - prove that the following are identity 1. (cotA+cosecA-...

calculus - So I am suppose to evaulate this problem y=tan^4(2x) and I am ...

Pre-Calculus - Evaluate the expression under the given conditions.? show work ...

pre calculus - Find the exact values: tan(7pi/4) - tan (pi/6)

Pre Calculus - Verify the following identity 2 tan x/1+tan^2 x = sin 2x

Math - Solve the puzzle =RIGHT(LEFT($B$2,84),1) =RIGHT(LEFT($B$2,17),1) =RIGHT(...