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cosθ/ (1-tanθ) + sinθ/ (1−cotθ) is equal...

`cosθ/ (1-tanθ)` + `sinθ/ (1−cotθ)` is equals to ​

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To solve the expression \(\frac{\cos \theta}{1 - \tan \theta} + \frac{\sin \theta}{1 - \cot \theta}\), we will follow these steps: ### Step 1: Rewrite the terms using trigonometric identities We know that: \[ \tan \theta = \frac{\sin \theta}{\cos \theta} \quad \text{and} \quad \cot \theta = \frac{\cos \theta}{\sin \theta} \] Thus, we can rewrite the denominators: ...
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CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Prove that: (cos2theta)/(1+sin2theta)=tan(pi/4-theta)

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  2. If sin(x+20^0)=2sinxcos40^0,where in (0,pi/2), then which of the foll...

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  3. cosθ/ (1-tanθ) + sinθ/ (1−cotθ) is equals to ​

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  4. If x/(costheta)=y/(cos(theta-(2pi)/3))=z/(cos(theta+(2pi)/3)) then x...

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  5. Prove that : (cosecθ−cotθ)^2 = (1+cosθ)/(1−cosθ) ​

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  6. Let (sin(theta-alpha))/("sin"(theta-beta))=a/b a n d(cos(theta-alpha)...

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  7. (1+sin2theta+cos2theta)/(1+sin2theta-cos2theta)=?

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  8. The value of expression (2(sin1^0+sin2^0+sin3^0+...+sin89^0))/(2(cos1...

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  9. If sintheta1sintheta2-costheta1costheta2+1=0, then the value of tan((...

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  10. on a cartesian plane, draw a line segment XY parallel to x-axis at a d...

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  11. In triangle A B C , prove that sin(A/2)+sin(B/2)+sin(C/2)lt=3/2dot H...

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  12. If x1 and x2 are two distinct roots of the equation acosx+bsinx=c , ...

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  13. (sqrt2-sinalpha-cosalpha)/(sinalpha-cosalpha) is equal to (a)sec(alp...

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  14. If (tan(alpha+beta-gamma))/("tan"(alpha-beta+gamma))=(tangamma)/(tanbe...

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  15. If sin(y+z-x),sin(z+x-y),"sin"(x+y-z) are in A.P., then t a n x ,tany...

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  16. Suppose A and B are two angles such that A , B in (0,pi) and satisfy s...

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  17. If "cot"(alpha+beta)=0, then "sin"(alpha+2beta) can be (a)-sinalpha...

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  18. The absolute value of the expression tan(pi/(16))+tan((5pi)/(16))+tan(...

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  19. Prove that: (sin2theta)/(1+cos2theta)=tantheta

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  20. If A and B are acute positive angles satisfying the equations 3 sin^(2...

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