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Given that sin(x)^2 + cos(x)^2 = 1, show that sec(x)^2 - tan(x)^2 = 1 (2 marks). Hence solve for x: tan(x)^2 + cos(x) = 1, x ≠ (2n + 1)π and -2π < x =< 2π(3 marks)

sin(x)² + cos(x)² = 1

Dividing by cos(x)² gives:

tan(x)² + 1 = sec(x)²

Which rearranges as:

sec(x)² - tan(x)<...

Answered by Alistair R. • Maths tutor

3918 Views

Find the exact length of side A in the triangle and give you answer in the simplest form. (It is a right angled triangle. Side C is (6+√(3)) and side B is (3 + 2√(3)).

a² + b² = c² (Pythagoras' Theorem)

a² + (3 + 2√(3))(3 + 2√(3)) = (6 + √(3))(6 + √(3)) (Expanding brackets)

a² + 9 + 6√(3) + 6√(3...

Answered by Rebecca A. • Maths tutor

3975 Views

Using real life examples, explain the differences between the different market structures.

There a four types of market structures. A monopoly is where one firm dominates the market, it is characterised by high entry and exit barriers, high sunk costs and a possibility for supernormal profits. ...

Answered by Fiyin A. • Economics tutor

15325 Views

Define economics of scale and explain them 2 examples

Economies of scale are when firms experience a fall in long run average costs due to the growth of the size of the company. Firstly an example is financial economies of scale. This is when a company can b...

Answered by Sophie W. • Economics tutor

2610 Views

How do I remember all the formulas I will need for questions.

It is difficult to remember formulas, especially when they are similar and easy to confuse. Some methods of remembering the many formulas needed for physics and maths are to recite them, to do a lot of pr...

Answered by Elizabeth S. • Physics tutor

2190 Views