You can Download Samacheer Kalvi 9th Maths Book Solutions Guide Pdf, Tamilnadu State Board help you to revise the complete Syllabus and score more marks in your examinations.

Tamilnadu Samacheer Kalvi 9th Maths Solutions Chapter 6 Trigonometry Ex 6.1

9th Maths Trigonometry Exercise 6.1 Question 1.
From the given figure find all the trigonometric ratios of angle B.
Solution:
9th Maths Trigonometry Exercise 6.1 Samacheer Kalvi Chapter 6

9th maths trigonometry exercise 6.1 Question 2.
From the given figure, find the values of
(i) sin B
(ii) sec B
(iii) cot B
(iv) cos C
(v) tan C
(vi) cosec C
Solution:
9th Maths Exercise 6.1 Samacheer Kalvi Solutions Chapter 6 Trigonometry
9th Maths Exercise 6.1 Samacheer Kalvi Chapter 6 Trigonometry

trigonometry exercise 6.1 Question 3.
If 2 cos θ = \(\sqrt{3}\), then find all the trigonometric ratios of angle θ.
Solution:
9th Std Maths Trigonometry Samacheer Kalvi Chapter 6 Ex 6.1

Trigonometry solutions exercise 6.1 Question 4.
If cos A = \(\frac{3}{5}\), then find the value of \(\frac{\sin A-\cos A}{2 \tan A}\)
Solution:
9th Maths Exercise 6.1 Solution Samacheer Kalvi Chapter 6 Trigonometry

trignometry solution of 9th class Question 5.
If cos A = \(\frac{2 x}{1+x^{2}}\) then find the values of sin A and tan A in terms of x.
Solution:
9th Maths Trigonometry Samacheer Kalvi Chapter 6 Ex 6.1

9th Maths Exercise 6.1 Samacheer Kalvi Question 6.
9th Standard Maths Trigonometry Exercise 6.1 Samacheer Kalvi
Solution:
Samacheer Kalvi 9th Maths Book Answers Chapter 6 Trigonometry Ex 6.1

9th Maths Exercise 6.1 Question 7.
If 3 cot A = 2, then find the value of \(\frac{4 \sin A-3 \cos A}{2 \sin A+3 \cos A}\)
Solution:
9th Maths 6.1 Samacheer Kalvi Chapter 6 Trigonometry Ex 6.1

9th Std Maths Trigonometry Question 8.
If cos θ : sin θ = 1 : 2, then find the value of \(\frac{8 \cos \theta-2 \sin \theta}{4 \cos \theta+2 \sin \theta}\)
Solution:
Trigonometry 9th Standard Samacheer Kalvi Chapter 6 Ex 6.1

9th Maths Exercise 6.1 Solution Question 9.
From the given figure, prove that θ + ϕ = 90°. Also prove that there are two other right angled triangles. Find sin α, cos β and tan ϕ
Solution:
9th Standard Maths Exercise 6.1 Samacheer Kalvi Chapter 6 Trigonometry
9th Trigonometry Samacheer Kalvi Maths Solutions Chapter 6 Ex 6.1
(∴ By Pythagoras theorem, in a right angled triangle square of hypotenuse is equal to sum of the squares of other two side)
And also in the figure, ∆ADC, ∆DBC are two other triangles.
As per the data given,
92+ 122 = 81 + 144 = 225 = 152
∴ ∆ ADC is a right angled triangle, then 122 + 162 = 144 + 256 = 400 = 202
∴ ∆ DBC is also a right angled triangle
Samacheer Kalvi 9th Maths Guide Chapter 6 Trigonometry Ex 6.1

9th Maths Trigonometry Question 10.
A boy standing at point O finds his kite flying at a point P with distance OP = 25 m. It is at a height of 5 m from the ground. When the thread is extended by 10 m from P, it reaches a point Q. What will be the height QN of the kite from the ground? (use trigonometric ratios)
Solution:
In the figure,
∆OPM, ∆OQN are similar triangles. In similar triangles the sides are in the same proportional.
Samacheer Kalvi 9th Maths Solutions Chapter 6 Trigonometry Ex 6.1
9th Std Trigonometry Samacheer Kalvi Chapter 6 Trigonometry Ex 6.1

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