If sin θ = 3 5 and 0 < θ < π 2 . Find all the other trigonometric ratios.

We have sin θ = 3 5 sin of an angle can be deduced using = opposite side hypotenuse similarly cos is deduced using = a d j a c e n t s i d e h y p o t e n u s e cosec θ = 5 3 With help of the property of trigonometric identity we know that sin 2 θ + cos 2 θ = 1 Using this relation we can take out the remaining identities ⇒ sin 2 θ + cos 2 θ = 1 ⇒ cos θ = 1 - sin 2 θ ⇒ cos θ = 1 - 3 5 2 cos θ = 1 - 9 25 = 25 - 9 25 = 16 25 cos θ = 4 5 sec θ = 5 4 ⇒ tan θ = sin θ cos θ = 3 5 4 5 = 3 4 cot θ = 4 3

Find d y d x for the following y = x 7 2 .

Given function is y = x 7 2 We have to find d y d x for the given function. Differentiation is a process, where we find the instantaneous rate of change in function based on one of its variables. Now, y = x 7 2 Differentiate with respect to the x . d y d x = 7 2 x 7 2 - 1 d y d x = 7 2 x 5 2

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Beta Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>BEGINNER'S BOX - 3

Embibe Experts Solutions for Chapter: Mathematical Tools in Physics, Exercise 3: BEGINNER'S BOX - 3

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Embibe Experts Physics Solutions for Exercise - Embibe Experts Solutions for Chapter: Mathematical Tools in Physics, Exercise 3: BEGINNER'S BOX - 3

Attempt the practice questions on Chapter 2: Mathematical Tools in Physics, Exercise 3: BEGINNER'S BOX - 3 with hints and solutions to strengthen your understanding. Beta Question Bank for Medical: Physics solutions are prepared by Experienced Embibe Experts.