# maths

posted by akhil

Trigonometry write tan in terms of cosec

1. Damon

oh my csc = 1/sin as I remember
so
sin = 1/csc

tan = sin/cos
but cos = sqrt(1-sin^2)
so
tan = sin/sqrt(1-sin^2
= 1/csc / [ sqrt(1 - 1/cssc^2)]
multiply top and bottom by csc
tan = 1/ [sqrt( csc^2-1)]

## Similar Questions

1. ### math

Prove the following identities: a) (cosec θ + cotθ)(cosecθ - cotθ) = cotθtanθ b) 2/(1 + sinθ) + 1/(1- sinθ) = (3sec^2)θ - tanθcosecθ I basically just have to prove Left HandSide …
2. ### maths

prove that sin A(1+tan A)+cos A(1+cot A)= sec A+ cosec A
3. ### Trigonometry

Find the exact value of tan(a-b) sin a = 4/5, -3pi/2<a<-pi; tan b = -sqrt2, pi/2<b<pi identity used is: tan(a-b)=(tan a-tan b)/1+tan a tan b simplify answer using radicals. (a is alpha, b is beta)
4. ### TRIGONOMETRY *(MATHS)

Q.1 Prove the following identities:- (i) tan^3x/1+tan^2x + cot^3x/1+cot^2 = 1-2sin^x cos^x/sinx cosx (ii) (1+cotx+tanx)(sinx-cosx)/sec^3x-cosec^3x = sin^2xcos^2x.
5. ### GENRAL MATHS

PROVE THAT (1+COT A+TAN A)(SIN A-COS A)=SEC A\COSEC A-COSEC A\SEC A
6. ### maths

if sec tita is 5/4 verify tan tita/1 plus tan^2 tita= sin tita/cosec tita
7. ### TRIGONOMETRY

Express tan theta in terms of cosec theta
8. ### Pre-Calc

Verify the identity. Show your work. cot2x + csc2x = 2csc2x - 1 1+cosec^2x +cosec^2x Cot^2x+cosec^x= 1+2 cosec^2x Would this be correct?
9. ### maths

If cot¤=7/8,find sin¤, Cos¤,Tan¤,Cosec¤,Tan¤
10. ### maths

If cot¤=7/8,find sin¤, Cos¤,Tan¤,Cosec¤,Tan¤

More Similar Questions