Tag: Karnataka state syllabus mathematics class 10

• Trigonometry Exercise 13.4 – Class 10

Trigonometry Exercise 13.4 – Solutions: Evaluate: tan65˚/cot25˚ sin18˚/cos72˚ iii. cos48˚- sin42˚ cosec31˚ – sec59˚ cot34˚ – tan56˚ sin36˚/cos54˚ – sin54˚/cos36˚ vii. sec70˚ sin20˚ – cos70˚cosec20˚ viii. cos213˚ – sin277˚   Prove that: sin35˚ sin55˚ – cos35˚cos55˚ = 0 tan10˚tan15˚tan75˚tan80˚ = 1 iii. cos38˚cos52˚ – sin38˚sin52˚ = 0   III. If sin5θ = cos4θ, where 4θ […]

• Trigonometry Exercise 13.3 – Class 10

Trigonometry Exercise 13.3 – Questions: I. Show that (1 – sin2θ) sec2 θ = 1 (1 + tan2 θ) cos2 θ = 1 (1 + tan2 θ)(1 – sin θ)( 1 + sin θ) = 1 sin θ/(1+cosθ) + 1+cosθ/sinθ = 2 cosec θ 1 + sinθ/1 – sinθ = (sec θ + tan θ)2 […]

• Trigonometry Exercise 13.2 – Class X

Trigonometry Exercise 13.2 – Questions: I. Answer the following questions: What trigonometric ratios of angles from 0 to 90 are equal to 0? Which trigonometric ratios of angles from 0 to 90 are equal to 1? Which trigonometric ratios of angles from 0 to 90 are equal to 1/2? Which trigonometric ratios of angles from […]

• Trigonometry Exercise 13.1 – Class 10

Trigonometry Exercise 13.1 – Questions: Find sin θ and cos θ for the following: (i) (ii) (iii) 2.Find the following: If sin x = 3/5 , cosec x = ______________ If cos x = 24/25, sec x = _______________ If tan x = 7/24 , cot x = _______________ If cosec x = 25/15 , […]

• Pythagoras Theorem Exercise 12.2 – Class 10

Pythagoras Theorem – Exercise 12.2 – Questions: Verify whether the following measures represent the sides of a right angled triangle. (i)1, 2, √3 (ii) √2, √3, √5 (iii) 6√3,  12, 6 (iv) m2  – n2, 2mn, m2 + n2 In triangle ∆ABC, a + b = 18 units, b + c = 25 units and […]

• Circles Exercise 10.7 Solution – Class 10

Circles Exercise 10.7 – Question Draw two circles of radii 5 cm and 2 c touching externally. Construct two circles of radii 4.5 cm and 2.5 cm whose centres are at 7 cm apart. Draw two circles of radii 4 cm and 2.5 cm touching internally. Measure and verify the distance between their centres. Distance […]

• Circles Exercise 10.6 Solution – Chapter Circles – Class 10

Circles Exercise 10.6 – Questions: I. Numerical problems on touching circles. Three circles touch each other externally. Find the radii of the circles if the sides of the triangle formed by joining the centres are 7 cm, 8 cm and 9 cm respectively. Three circles with centres A, B and C touch each other as […]

• Circles Exercise 10.5 – Class 10

Circles Exercise 10.5 – Questions: Draw a circle of radius 6 cm and construct tangents to it from an external point 10 cm away from the centre. Measure and verify the length of the tangents. Construct a pair of tangents to a circle of radius 3.5 cm from a point 3.5 cm away from the […]

• Circles Exercise 10.4 – Chapter Circles – Class 10

1.In the figure PQ, PR and BC are the tangents to the circle BC touches the circles at X. If PQ = 7cm find the perimeter of ∆PBC Solution: The perimeter of ∆PBC = PC + PB + BC = PC + PB + BX + CX But Cx = CR and BX = BQ […]