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Exercise 3.2 - Chapter 3 Trigonometric Functions class 11 ncert solutions Maths - SaraNextGen [2024-2025]


Updated By SaraNextGen
On April 24, 2024, 11:35 AM

Question 1:

Find the values of other five trigonometric functions if https://img-nm.mnimgs.com/img/study_content/curr/1/11/11/163/5010/CHAPTER%203_html_m625aacf3.gifx lies in third quadrant.

Answer:

https://img-nm.mnimgs.com/img/study_content/curr/1/11/11/163/5010/CHAPTER%203_html_m625aacf3.gif

https://img-nm.mnimgs.com/img/study_content/curr/1/11/11/163/5010/CHAPTER%203_html_m5d391c90.gif

Since x lies in the 3rd quadrant, the value of sin x will be negative.

https://img-nm.mnimgs.com/img/study_content/curr/1/11/11/163/5010/CHAPTER%203_html_m54eed8b3.gif

https://img-nm.mnimgs.com/img/study_content/curr/1/11/11/163/5010/CHAPTER%203_html_554ebf18.gif

Question 2:

Find the values of other five trigonometric functions if https://img-nm.mnimgs.com/img/study_content/curr/1/11/11/163/5011/CHAPTER%203_html_m822985e.gifx lies in second quadrant.

Answer:

https://img-nm.mnimgs.com/img/study_content/curr/1/11/11/163/5011/CHAPTER%203_html_m822985e.gif

https://img-nm.mnimgs.com/img/study_content/curr/1/11/11/163/5011/CHAPTER%203_html_m11a827f1.gif

Since x lies in the 2nd quadrant, the value of cos x will be negative

https://img-nm.mnimgs.com/img/study_content/curr/1/11/11/163/5011/CHAPTER%203_html_m6ee33289.gif

Question 3:

Find the values of other five trigonometric functions if https://img-nm.mnimgs.com/img/study_content/curr/1/11/11/163/5012/CHAPTER%203_html_302e2759.gifx lies in third quadrant.

Answer:

https://img-nm.mnimgs.com/img/study_content/curr/1/11/11/163/5012/CHAPTER%203_html_302e2759.gif

https://img-nm.mnimgs.com/img/study_content/curr/1/11/11/163/5012/CHAPTER%203_html_4806a27d.gif

https://img-nm.mnimgs.com/img/study_content/curr/1/11/11/163/5012/CHAPTER%203_html_m4f340d16.gif

Since lies in the 3rd quadrant, the value of sec x will be negative.

https://img-nm.mnimgs.com/img/study_content/curr/1/11/11/163/5012/CHAPTER%203_html_m5c9515.gif

Question 4:

Find the values of other five trigonometric functions if https://img-nm.mnimgs.com/img/study_content/curr/1/11/11/163/5013/CHAPTER%203_html_m5ee9b554.gifx lies in fourth quadrant.

Answer:

https://img-nm.mnimgs.com/img/study_content/curr/1/11/11/163/5013/CHAPTER%203_html_m5ee9b554.gif

https://img-nm.mnimgs.com/img/study_content/curr/1/11/11/163/5013/CHAPTER%203_html_6dc35df.gif

Since x lies in the 4th quadrant, the value of sin x will be negative.

https://img-nm.mnimgs.com/img/study_content/curr/1/11/11/163/5013/CHAPTER%203_html_m6f29f9c4.gif

Question 5:

Find the values of other five trigonometric functions if https://img-nm.mnimgs.com/img/study_content/curr/1/11/11/163/5014/CHAPTER%203_html_m6856b277.gifx lies in second quadrant.

Answer:

https://img-nm.mnimgs.com/img/study_content/curr/1/11/11/163/5014/CHAPTER%203_html_m6856b277.gif

https://img-nm.mnimgs.com/img/study_content/curr/1/11/11/163/5014/CHAPTER%203_html_m7c1388a3.gif

Since x lies in the 2nd quadrant, the value of sec x will be negative.

∴sec x =https://img-nm.mnimgs.com/img/study_content/curr/1/11/11/163/5014/CHAPTER%203_html_20368f31.gif

https://img-nm.mnimgs.com/img/study_content/curr/1/11/11/163/5014/CHAPTER%203_html_m35846fba.gif

Question 6:

Find the value of the trigonometric function sin 765°

Answer:

It is known that the values of sin repeat after an interval of 2π or 360°.

https://img-nm.mnimgs.com/img/study_content/curr/1/11/11/163/5015/CHAPTER%203_html_2ebe2544.gif

Question 7:

Find the value of the trigonometric function cosec (–1410°)

Answer:

It is known that the values of cosec repeat after an interval of 2π or 360°.

https://img-nm.mnimgs.com/img/study_content/curr/1/11/11/163/5016/CHAPTER%203_html_m669c578d.gif

Question 8:

Find the value of the trigonometric function https://img-nm.mnimgs.com/img/study_content/curr/1/11/11/163/5500/Chapter%203_html_m66d80671.gif

Answer:

It is known that the values of tan repeat after an interval of π or 180°.

https://img-nm.mnimgs.com/img/study_content/curr/1/11/11/163/5500/Chapter%203_html_4a239743.gif

Question 9:

Find the value of the trigonometric functionhttps://img-nm.mnimgs.com/img/study_content/curr/1/11/11/163/5018/CHAPTER%203_html_77781381.gif

Answer:

It is known that the values of sin repeat after an interval of 2π or 360°.

https://img-nm.mnimgs.com/img/study_content/curr/1/11/11/163/5018/CHAPTER%203_html_3ca4699b.gif

Question 10:

Find the value of the trigonometric functionhttps://img-nm.mnimgs.com/img/study_content/curr/1/11/11/163/5019/CHAPTER%203_html_m669adee7.gif

Answer:

It is known that the values of cot repeat after an interval of π or 180°.

https://img-nm.mnimgs.com/img/study_content/curr/1/11/11/163/5019/CHAPTER%203_html_m2064b674.gif

Also Read : Exercise-3.3-Chapter-3-Trigonometric-Functions-class-11-ncert-solutions-Maths

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