Prove that cos theta/1-tan theta + sin theta/1-cot theta=sin theta+cos theta. RS Aggarwal-Example 6.

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Trigonometry | Prove that cos theta/(1-tan theta) + sin theta/(1-cot theta)= sin theta + cos theta. Prove that cosa/1-tana+sina/1-cota=sina+cosa.
Example-6 RS Aggarwal. Example 9- RD Sharma. Ex 7.1 Question 26 Rajasthan Board.
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This is the 29th example from R S Aggarwal Trigonometry Class 10. This is also the 10th video of our series on trigonometric identities class 10. The students are requested to see all the questions from this series and get benefitted. I can assure every student of class 10 that this series involves all the questions that you need to study for your conceptual understanding of trigonometry class 10. The other videos strictly in order are as follows:

Question 1)
RS Aggarwal Trigonometry solutions, Example - 1 -13a.

Question 2)
Prove that tana+sina/tana-sina=seca+1/seca-1.

Question 3)
Prove that (1)/(1+sin theta)+(1)/(1-sin theta)=2 sec^(2)theta.

Question 4)
Exercise 8.4 question 5 part 2 | RBSE Ex 7.1 Question 9.

Question 5)
Prove that 1-cos theta/sin theta=sin theta/1+cos theta.

Question 6)
Prove that sin theta/1-cos theta = cosec theta+cot theta.

Question 7)
Prove that 1-sina/1+sina=(seca-tana)^2.

Question 8)

Question 9)
Prove that root ((1+sin theta)/(1-sin theta))=sec theta+tan theta.

Question 10)
Prove that cosec theta/(cosec theta-1) + cosec theta/(cosec theta+1)=2sec^2 theta.

Question 11) Prove that cos theta/1-tan theta + sin theta/1-cot theta=sin theta+cos theta.

Question 12)

Question 13)
RS Aggarwal Example-5 | Prove that (1+cota-coseca)(1+tana+seca)=2

Question 14)
RD Sharma Example-7 | Prove that sin theta/(1-cos theta)+tan theta/(1+cos theta)=sec theta cosec theta+cot theta.

Question 15)
RD Sharma - Example-11 | Prove that cosa/(1-tana) + sin^2a/(sina-cosa)=sina+cosa.

Question 16)
If sec theta + tan theta=p, show that p^2-1/p^2+1=sin theta.

Question 17)
If 3 sin theta + 5 cos theta=5, prove that 5 sin theta-3 cos theta=+-3.

Question 18)
If acosθ - bsinθ=c prove that asinθ+bcosθ= ±√a2+b2-c2.

Question 19)

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(cos theta)/(1 + tan theta) - (sin theta)/(1 + cot theta) = cos theta - sin theta

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Prove that cos theta/1-tan theta + sin theta/1-cot theta=sin theta+cos theta. RS Aggarwal-Example 6.

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