Prove that sin theta(1+tan theta)+cos theta(1+cot theta)=sec theta+cosec theta | Trigonometry |

RS Aggarwal Trigonometry- Question No.7 | Trigonometry class 10 | Prove that sin theta(1+tan theta)+cos theta(1+cot theta)=sec theta+cosec theta | prove that sina(1+tana)+cosa(1+cota)=seca+coseca | Trigonometry class 10 important questions |

#trigonometryclass10avijainclasses #trigonometryavijainclasses #trigonometry #trigonometryclass10

Here we have started the series for trigonometry extra questions. And you are going to get a complete set of extra questions that you must study. This series of questions for trigonometry class 10 will help you to understand the conceptual study of trigonometry. The other questions that you must study for trigonometry class 10 are as follows:

Q-1:
Prove the following trigonometric identities | R S Aggarwal example 1 |

Q-2:
Prove that (tan theta+sin theta)/(tan theta-sin theta)=(sec theta+1)/(sec theta-1)

Q-3:
Prove that 1/(1+sin theta)+1/(1-sin theta)=2 sec^(2)theta

Q-4:
Exercise 8.4 class 10 question 5 part 2

Q-5:
Prove that cos theta/(1+sin theta)=(1-sin theta)/cos theta

Q-6:
Prove that sin theta/(1-cos theta)=(cosec theta+cot theta)

Q-7:
Prove that (1-sin theta)/(1+sin theta)=(sec theta-tan theta)^2

Q-8:
Prove that root(1+sin theta/1- sin theta)+root(1-sin theta/1+sin theta)=2 sec theta

Q-9:
Prove that root (1+sin theta/1-sin theta)=sec theta+tan theta. Exercise 8.4 question 5(vi)

Q-10:
Prove that cosec theta/(cosec theta-1)+cosec theta/(cosec theta+1)=2sec^2 theta

Q-11:
Prove that cos theta/(1-tan theta)+sin theta/(1-cot theta)=sin theta+cos theta

Q-12:
Exercise 8.4 question 5 part 3 | Prove that tan theta/(1-cot theta) + cot theta/(1-tan theta)=1+sec theta cosec theta

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

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

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

Q-16(a):
If sec theta + tan theta=p, show that p^2-1/p^2+1=sin theta

Q-16(b):
If 3 sin theta + 5 cos theta=5, prove that 5 sin theta-3 cos theta=+-3

Q-17:
If acosθ bsinθ=c prove that asinθ+bcosθ= ±√a2+b2-c2

Q-18:
If sec theta=x+1/4x, show that sec theta+tan theta=2x or 1/2x

Q-19:
prove that 1/(cosec theta - cot theta)-1/sin theta=1/sin theta-1/(cosec theta + cot theta)

Q-20:
If cos theta+sin theta=√2 cos theta, then show that cosθ-sinθ = √ 2sinθ

Q-21:
If tan theta=p/q, show that (p sin theta-q cos theta)/(p sin theta+q cos theta)=(p^2-q^2)/(p^2+q^2)

Q-22:
Prove that sin theta / cot theta+cosec theta=2+sin theta/cot theta-cosec theta

Q-23:
If sin theta + sin^2 theta = 1, show that cos^2 theta + cos^4 theta = 1

Q-24:
Prove that sin^6x+cos^6x=1-3 sin^2x cos^2x

Q-25:
prove that sec theta + tan theta -1/tan theta-sec theta+1= cos theta/1-sin theta

Q-26:
If 7sin^2 theta+3cos^2 theta=4 show that tan theta= 1/√3

Q-27:
If x sin^3 theta + y cos^3 theta = sin theta cos theta , prove that x^2+y^2=1

Q-28:
Prove that sin theta +cos theta /sin theta - cos theta +sin theta - cos theta /sin theta +cos theta=2 sec square theta /tan square theta -1

Q-29:
Prove that tan2A-tan2B=sin2A-sin2B/cos2Acos2B=cos2B-cos2A/cos2Acos2B

Q-30:
If a+b=90 then prove that root tanAtanB+tanAcotB/sinAsecB-sin2B/cos2A=tanA

Q-31:
If tana=ntanb and sina=msinb prove that cos^2a=m^2-1/n^2-1

Q-32:
Prove that (1+sina-cosa/1+sina+cosa)^2=1-cosa/1+cosa

Q-33:
If cosec theta - sin theta = l and sec theta - cos theta = m, then prove that l^2m^2(l^2+m^2+3)=1

Q-34:
If √3 cot^2θ - 4cotθ+ √3 =0, then find the value of cot^2θ + tan^2θ

Q-35:
If tan theta+sin theta=m and tan theta-sin theta=n then prove that m^(2)-n^(2)=4sqrt(mn)

Q-36:
If 1+sin^2 theta=3 sin theta cos theta, then prove that tan theta=1 or 1/2.

Q-37:
If tan theta+sec theta=l, then prove that sec theta=(l^2)+(1/2l)

[letusknowtheright]

The best teacher.. unbelievably awesome... 👍👌👌👌👌

[PrinceKumar-qjyi]

Thankyou so much sir you are great 👍😃🖤

[netrakulkarniga]

Sir how do you get to know that if we use this formula then only we can prove the question .

[AryanVerma-gwpf]

Thanks you so much sir this is very easiest method to solve it❤😊

[PoojaKumari-twhf]

My confusion is Clear thank-you for explanation this video

[mkdeshmukh]

Aare love u sir😘 kya method bataya hai❤️

[SanjaySharma-immh]

You help me lot as I am preparing for my maths exam and I tried to do that question

[dharaphate]

Awesome sir, Neverrrr wondered it can be also solved like this❤❤❤

[muskankumari]

Thanku for such nice explanation and you make it so esy .. I not understand by my school nd tution.... Now from your video I think it's clear now in my mind

[AnilKumar-xkqu]

Nice trick sir and thank you sir for this video ❤

[UjjuPujju]

Sir isse pehle mujhe yeh question bilkul samajh mei nhi aa rha tha lekin aapne ekdam easily samjha diya, Bilkul makkhan explanation 😊❤️

[priyagupta-zgre]

) tan θ/(1-cot θ) + cot θ/(1-tan θ) = 1 + sec θ cosec θ
Provide easy to easy method for this please Sir

[solenoid]

Thank u v much sir kayi sites se ye question dekha lekin samajh nhi aaya tha lekin aapne samjha diya. Once again thanks 👍👍😀

[Veerarawat-gyub]

Sir I like the way you explain cause you explain In basic form which any you tuber dosen't whether it's byjus, pw, khan sir, akash sir, sir Tarun rupani, topper, doubtnut and local teachers you are really the best sir

[deshrajyadav]

Sir Oswal book me RHS side me sec theta into cosec theta h to vase kase prove hoga