10th mathematics exercise questions with answers

## 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… Continue reading Trigonometry Exercise 13.4 – Class 10

10th mathematics exercise questions with answers

## 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… Continue reading Trigonometry Exercise 13.3 – Class 10

10th mathematics exercise questions with answers

## Circles Exercise 10.8 Solution – Class 10

10th mathematics exercise questions with answers

## 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… Continue reading Circles Exercise 10.6 Solution – Chapter Circles – Class 10

## 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… Continue reading Circles Exercise 10.5 – Class 10

## 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… Continue reading Circles Exercise 10.4 – Chapter Circles – Class 10