# Trigonometry

### From Exampleproblems

## Contents |

## Trigonometry

solution Invert the matrix

solution Find the amplitude and period of

solution If and is in the third quadrant, then find .

solution If a 10 foot tall ladder leans against a wall, and the base of the ladder is 5 feet away from the wall, then how far up the wall does the ladder go?

solution If an 11 foot tall ladder leans against a wall, and the base of the ladder makes a 24 degree angle with the ground, then how far up the wall does the ladder go?

solution If a 30 foot tall ladder leans against a wall, and the base of the ladder makes a 65 degree angle with the ground, then how far up the wall does the ladder go?

### Basics

solution If prove that

solution Show that

solution Prove that

solution If show that

solution Eliminate from and

solution If and show that

solution Prove that

solution Simplify

solution Prove that

solution Simplify

solution Prove that

solution Prove that

solution Show that

solution Prove that

## Compound Angles

solution Prove that and

solution Find the value of

solution Find the value of

solution what is the value of

solution Show that

solution Prove that

solution Prove that

solution Prove that

solution IF then prove that

solution In a triangle ABC if then show that the triangle is equilateral.

solution , prove that

solution If then show that

solution If A+B=45, prove that .Hence show that

solution Prove that

solution Prove that

solution Show that

solution Show that

## Multiple and Submultiple angles

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solution Prove that

solution Show that

solution Prove that . Hence find the value of

solutionIf ,then prove that

solution Prove that

solution Prove that

solution Prove that .Hence show that

solution Prove that

solution If show that

solution Prove that

solution Prove that

## Transformations

For all

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### Trigonometric Equations

### Inverse Trigonometric Functions

find the value of sec x . cosx + sin ^2 ( x ) + cos ^2( x )