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Prove that: (t a n(90^0-theta)s e c(180^...

Prove that: `(t a n(90^0-theta)s e c(180^0-theta)s in(-theta))/(s in(180^0+theta)cot(360^0-theta)cos e c(90^0-theta))=1`

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To prove the equation \[ \frac{\tan(90^\circ - \theta) \sec(180^\circ - \theta) \sin(-\theta)}{\sin(180^\circ + \theta) \cot(360^\circ - \theta) \cos(90^\circ - \theta)} = 1, \] we will simplify the left-hand side step by step. ...
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What is the value of , (sin(90^@-theta)sec(180^@-theta)sin(-theta))/(sin(180^@+theta)cot(360^@-theta)cosec(90^@+theta)) :

What is the value of (tan (90^@-theta) sec (180^@-theta)sin(-theta))/(sin (180^@+theta) cot (360^@-theta) "cosec"(90^@-theta)) ?

What is the value of : (sin(90^(@)-theta)sec(180^(@)-theta)sin(-theta))/(sin(180^(@)+theta)cot(360^(@)-theta)"cosec "(90^(@)+theta)) :

(cot(90^(@)-theta)sin(180^(@)-theta)sec(360^(@)-theta))/(tan(180^(@)+theta)sec(-theta)cos(90^(@)+theta))

Prove that ("cos"(90^0+theta)"sec"(-theta)"tan"(180^0-theta))/("sec"(360^0-theta)"sin"(180^0+theta)"cot"(90^0-theta))=-1.

Prove that (cos(90^(0)+theta)sec(-theta)tan(180^(@)-theta))/(sec(360^(@)-theta)sin(180^(@)+theta)cot(90^(@)-theta))=-1

sin(90+theta)+cos(90-theta)+tan(180-theta)+cot(180+theta)

Prove that (cos(90^(@)+theta)sec(-theta)tan(180^(@)-theta))/(sec(360^(@)-theta)sin(180^(@)+theta)cot(90^(@)-theta))=-1

(cos theta)/(sin(90^(@)+theta))+(sin(-theta))/(sin(180^(@)+theta))-(tan(90^(@)+theta))/(cot theta)

(cos(90^(@)-theta).sec(90^(@)-theta).tantheta)/(cosec(90^(@)-theta).sin(90^(@)-theta).cot(90^(@)-theta))=?

RD SHARMA-TRIGONOMETRIC FUNCTIONS-Solved Examples And Exercises
  1. Find the value of (sin(180^0+theta)cos(90^0+theta)t a n(270^0-theta))...

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  2. Prove that: (cos e c(90^0+theta)+cot(450^0+theta))/(cos e c(90^0-thet...

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  3. Prove that: (t a n(90^0-theta)s e c(180^0-theta)s in(-theta))/(s in(18...

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  4. Prove that: {1+cottheta-s e c(pi/2+theta)}{1+cottheta+s e c(pi/2+theta...

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  5. Prove that: 2sin^2(3pi/4)+2cos^2(pi/4)+2sec^2(pi/3)=10

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  6. Prove that: sin^2pi/6+cos^2pi/3-t a n^2pi/4=-1/2

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  7. cot^2 pi/6 +cose c (5pi)/6 +3tan^2 pi/6 equals to

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  8. Prove that: 2s in^2pi/6+cos e c^2(7pi)/6cos^2pi/3=3/2

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  9. Find all other trigonometrical ratios if sintheta=-(2sqrt(6))/5 andth...

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  10. Find sintheta + t a nthetaifcostheta=-(12)/(13)a n d theta lies i...

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  11. If (sinA)/(sinB)=pa n d(cosA)/(cosB)=q , find tanAa n dtanBdot

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  12. If 10sin^4alpha+15cos^4alpha=6 , find the value of 27cos e c^6alpha+8s...

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  13. If a=s e ctheta-t a ntheta and b=cos e ctheta+cottheta , then show tha...

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  14. If cotx(1+sinx)=4m andcotx(1-sinx)=4n , prove that (m^2-n^2)^2=m n .

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  15. If Tn=sin^nx+cos^nx , prove that (i) 2T6-3T4+10=0

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  16. Prove that: sqrt((1-sintheta)/(1+sin theta))+sqrt((1+sintheta)/(1-sint...

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  17. If sectheta+tantheta=p , obtain the values of sectheta,tantheta and s...

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  18. If acos theta-b sin theta=c , show that asin theta+b cos theta=+-sqrt(...

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  19. If t a ntheta+sintheta=m and tantheta-sintheta=n , show m^(2-)n^2=4sq...

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  20. Prove that: s e c^2theta+cos e c^2theta=cosec^2θ.sec^2θ .

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