Calculus
posted by Rileigh .
If tan(θ)=−7/2 and sin(θ)<0, then find
(a) sin(θ)=
(b) cos(θ)=
(c) sec(θ)=
(d) csc(θ)=
(e) cot(θ)=

Tan(A) = Y/X = 7/2
r^2 = X^2 + Y^2 = 2^2 + (7)^2 = 53, r = sqrt(53).
a. sin(A) = Y/r = (7)/sqrt(53) = (7)*sqrt(53)/53.
b. Cos(A) = X/r = 2/sqrt(53) = 2*sqrt(53)/53.
c. sec(A) = 1/Cos(A) = qrt(53)/2.
d. csc(A) = sqrt(53)/(7).
e. cot(A) = 1/Tan(A) = 2//(7). =  2/7.
Respond to this Question
Similar Questions

Trigonometry
Hello all, In our math class, we are practicing the trigonometric identities (i.e., sin^2(x)+cos^2(x)=1 or cot(x)=cos(x)/sin(x). Now, we are working on proofs that two sides of an equation are equal (for example, sin(x)*csc(x)=1; sin(x)csc(x)=sin(x)/sin(x)=1; … 
verifying trigonometric identities
How do I do these problems? Verify the identity. a= alpha, b=beta, t= theta 1. (1 + sin a) (1  sin a)= cos^2a 2. cos^2b  sin^2b = 2cos^2b  1 3. sin^2a  sin^4a = cos^2a  cos^4a 4. (csc^2 t / cot t) = csc t sec t 5. (cot^2 t / csc 
Math
Which of the following are inverse functions? 
math (repost)
Which of the following are inverse functions? 
Math  Trig
I'm trying to verify these trigonometric identities. 1. 1 / [sec(x) * tan(x)] = csc(x)  sin(x) 2. csc(x)  sin(x) = cos(x) * cot(x) 3. 1/tan(x) + 1/cot(x) = tan(x) + cot(x) 4. csc(x)/sec(x) = cot(x) 
Trigonometry
Please review and tell me if i did something wrong. Find the following functions correct to five decimal places: a. sin 22degrees 43' b. cos 44degrees 56' c. sin 49degrees 17' d. tan 11degrees 37' e. sin 79degrees 23'30' f. cot 19degrees … 
trigonometry repost
Reduce (csc^2 x  sec^2 X) to an expression containing only tan x. (is this correct? 
Trigonometry
Verify the identities. 1.) √1COSθ/1+COSθ= 1+SINθ/SINθ 2.) SEC X SIN(π/2X)= 1 3.) CSC X(CSC XSIN X)+SIN XCOS X/SIN X + COT X= CSC²X 4.) CSC^4 X2 CSC²X+1= COT^4 X 5.) CSC^4 θCOT^4 θ= 2 … 
PreCalculus
Prove that each equation is an identity. I tried to do the problems, but I am stuck. 1. cos^4 tsin^4 t=12sin^2 t 2. 1/cos s= csc^2 s  csc s cot s 3. (cos x/ sec x 1) (cos x/ tan^2x)=cot^2 x 4. sin^3 z cos^2 z= sin^3 z  sin^5 … 
PreCalculus
I don't understand,please be clear! Prove that each equation is an identity. I tried to do the problems, but I am stuck. 1. cos^4 tsin^4 t=12sin^2 t 2. 1/cos s= csc^2 s  csc s cot s 3. (cos x/ sec x 1) (cos x/ tan^2x)=cot^2 x …