NCERT solution Class 11 trigonometric functions

NCERT Solutions

Class 11 Maths

Trigonometric Functions

NCERT Questions

Ex.3.1 Q.1
Ex.3.1 Q.2
Ex.3.1 Q.3
Ex.3.1 Q.4
Ex.3.1 Q.5
Ex.3.1 Q.6
Ex.3.1 Q.7
Ex.3.2 Q.1
Ex.3.2 Q.2
Ex.3.2 Q.3
Ex.3.2 Q.4
Ex.3.2 Q.5
Ex.3.2 Q.6
Ex.3.2 Q.7
Ex.3.2 Q.8
Ex.3.1 Q.9
Ex.3.2 Q.10
Ex.3.3 Q.1
Ex.3.3 Q.2
Ex.3.3 Q.3
Ex.3.3 Q.4
Ex.3.3 Q.5
Ex.3.3 Q.6
Ex.3.3 Q.7
Ex.3.3 Q.9
Ex.3.3 Q.10
Ex.3.3 Q.11
Ex.3.3 Q.12
Ex.3.3 Q.13
Ex.3.3 Q.14
Ex.3.3 Q.15
Ex.3.3 Q.16
Ex.3.3 Q.17
Ex.3.3 Q.18
Ex.3.3 Q.19
Ex.3.3 Q.20
Ex.3.3 Q.21
Ex.3.3 Q.22
Ex.3.3 Q.23
Ex.3.3 Q.24
Ex.3.3 Q.25
Ex.3.4 Q.1
Ex.3.4 Q.2
Ex.3.4 Q.3
Ex.3.4 Q.4
Ex.3.4 Q.5
Ex.3.4 Q.6
Ex.3.4 Q.7
Ex.3.4 Q.8
Ex.3.4 Q.9
Ex.Misc.Q.1
Ex.Misc.Q.2
Ex.Misc.Q.3
Ex.Misc.Q.4
Ex.Misc.Q.5
Ex.Misc.Q.6
Ex.Misc.Q.7
Ex.Misc.Q.8
Ex.Misc.Q.9
Ex.Misc Q.10

Ex.Misc Q.10

Find sin , cos and tan for sin x = , x in quadrant II

Here, x is in quadrant II.

i.e., < x < Π

=> < <

Therefore, sin , cos and tan are all positive.

Given, sin x =

cos² x = 1 – sin² x

= 1 – ( )²

= 1 –

cos x = -√15 ÷ 4

[since cos x is negative in quadrant II]

Now, sin² = (1 – cos x) ÷ 2

= {1 – (-√15 ÷ 4)} ÷ 2

= (1 + (√15 ÷ 4)) ÷ 2

= (4 + √15) ÷ 8

=> sin = √ [(4 + √15) ÷ 8]

[Since sin is positive]

=> sin = √ [{(4 + √15) ÷ 8} × ( )]

=> sin = √ [(8 + 2√15) ÷ 16]

=> sin = √ {(8 + 2√15)} ÷ 4

Again, cos² = (1 + cos x) ÷ 2

= {1 + (-√15 ÷ 4)} ÷ 2

= (1 – (√15 ÷ 4)) ÷ 2

= (4 - √15) ÷ 8

=> cos = √ [(4 - √15) ÷ 8]

[Since cos is positive]

=> cos = √ [{(4 - √15) ÷ 8} × ( )]

=> cos = √ [(8 - 2√15) ÷ 16]

=> cos = √ {(8 - 2√15)} ÷ 4

Now, tan = (sin ) ÷ (cos )

= [√ {(8 + 2√15)} ÷ 4] ÷ [ √ {(8 - 2√15)} ÷ 4]

= [√ (8 + 2√15)] ÷ [ √ (8 - 2√15)]

= √ [{(8 + 2√15)] ÷ (8 - 2√15)} × {(8 + 2√15)] ÷ (8 + 2√15)}]

= √ [(8 + 2√15)²] ÷ (64 - 60)]

= (8 + 2√15) ÷ 2

= 4 + √15

Therefore, value of sin , cos and tan are: √ {(8 + 2√15)} ÷ 4, √ {(8 - 2√15)} ÷ 4 and 4 + √15

Video solution:

Trigonometric Functions Class 11 Maths NCERT Chapter 3 NCERT Solutions

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NCERT solutions of Trigonometric Functions Class 11 Maths - all questions of all exercises are solved. Q. No. 1, 2, 3, and so on. Complete explanation and detailed solution makes them the best videos for Class 11 Maths Trigonometric Functions NCERT solutions.