General Solution of Trigonometric Function (Tan θ) General Solution of Equation tan θ = tan α: Given that, tan θ = tan α , sin θ. Cos α – sin α cos θ = 0 sin (θ – α) = 0 (θ – α) = sin⁻¹ (0) (θ – α) = sin⁻¹ (sin nπ) (θ Read more about General Solution of Trigonometric Function (Tan θ)[…]
Polytropic Process A polytropic process is one in which the equation of the pressure versus volume curve is of the form PVN = Constant. Where, N is a constant throughout the process and may adopt any numerical value. The thermodynamics process discussed earlier, may in some instances, be regarded as particular cases of the polytropic Read more about Polytropic Process[…]
Heights and Distances – Problems 1. The upper ¾ th portion of a vertical pole subtends an angle θ such that tanθ = ⅗ at a point in the horizontal plane through its foot and at distance 40m from the foot. Find the possible height of the vertical pole. Solution: Let h be the height Read more about Heights and Distances – Problems[…]
Sanskriti Engineering Entrance Examination (SEEE) 2019 Application Started The Sanskriti University, established by State of Uttar Pradesh, located at NH-2 Chhata, Mathura is acknowledged as one of the leading universities imparting higher & technical education at Post-Graduate/ Under-Graduate & diploma level. Eligibility Criteria: 10+2 with minimum 50% marks in PCM (Admission on merit of SEEE/JEE/Qualifying Read more about Sanskriti Engineering Entrance Examination (SEEE) 2019 Application Started[…]
Values of Trigonometric Ratios of Typical Angles – I (i) Value of 7½° θ = 7½° then 2θ = 15° [∵ 1-cos2θ = 2sin²θ and sin2θ = 2sinθcosθ]. . . = (√3 – √2) (√2 – 1) (ii) Value of cot 82½ cot 82½° = cos (90° – 7½°) = tan 7½° = (√3 – Read more about Values of Trigonometric Ratios of Typical Angles – I[…]
Specific Heat of a Gas at Constant Pressure Consider n moles of a gas contained in a cylinder fitted with a frictionless movable piston bearing some load. Let heat be supplied to the gas slowly so that the pressure of the gas never exceeds the external pressure more than by an infinitesimal amount. Assuming, no Read more about Specific Heat of a Gas at Constant Pressure[…]
IIIT Hyderabad Direct Admissions for Students Abroad (DASA) 2019 Notification Released Admissions under Direct Admissions for Students Abroad (DASA) mode for Undergraduate students for the academic year 2019-20 at International Institute of Information Technology, Hyderabad. Eligibility Criteria: Applicants should have completed 12th class or equivalent by May 2019 or earlier. Candidate should have scored at Read more about IIIT Hyderabad Direct Admissions for Students Abroad (DASA) 2019 Notification Released[…]
National Defence Academy & Naval Academy Examination (I) 2019 Notification Released The National Defence Academy is the Joint Services academy of the Indian Armed Forces, where cadets of the three services, the Army, the Navy and the Air Force train together before they go on to respective service academies for further pre-commissioning training. Eligibility Criteria: Read more about National Defence Academy & Naval Academy Examination (I) 2019 Notification Released[…]
Values of Trigonometric Ratios of Typical Angles 1.Value of sin15°, cos15°, sin75°, cos75°, tan15°, tan75°: (i) sin15° sin15° = sin (45° – 30°) = sin45° cos30° – sin30° cos45° . . (ii) cos15° cos15° = cos (45° – 30°) = cos45° cos30° + sin30 sin45° . cos15° = . Also, sin15° = cos75° = -cos105° Read more about Values of Trigonometric Ratios of Typical Angles[…]
Specific Heat of a Gas at Constant Volume Consider, moles of an ideal gas, confined in a cylinder, filled with a fixed piston. If be the heat supplied to the gas and as expected, the increase in temperature be, then experimentally: Q α n; ΔT = Constant … (1) Also, Q α ΔT; n = Read more about Specific Heat of a Gas at Constant Volume[…]