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Prove that sin(x)^2 - 5cos(x)^2 = 6sin(x)^2 - 5

5 = 5(cos(x)^2 + sin(x)^2) = 5cos(x)^2 + 5sin(x)^2=> 5 - 5cos(x)^2 = 5sin(x)^2=> sin(x)^2 + 5 - 5cos(x)^2 = 6sin(x)^2=> sin(x)^2 - 5cos(x)^2 = 6sin(x)^2 - 5

Answered by Nicholas T. • Further Mathematics tutor

1986 Views

How do you break down a wordy question (e.g. Aled has three concrete slabs. Two slabs square, of length x, & the third rectangular of dimensions 1m & x+1m. Show 2x^2 +x-6=0 & Solve this)

Start off by taking a breather. Let's break this down into the components of the problem, in this case the three slabs (a,b,c)A_a=lh=xx=x²A_b=A_a=x^2...

Answered by Gwynfor M. • Maths tutor

2845 Views

How do you conjugate irregular verbs that take être in the passé composé (present perfect)?

The perfect tense is used to talk about something that happened in the past. It's an action that is completely finished. Some verbs take the auxillary 'être' to form the perfect tense. Firstly, we need to...

Answered by Aman G. • French tutor

1873 Views

What factors change the rate of diffusion? (3) and what is the relationship between these factors? (1)

Temperature - The higher the temperature the faster the movement of particles so there is an increased rate of diffusion and conversely lowering the temperature decreases the rate of diffusionConcentratio...

Answered by Aneisha D. • Biology tutor

2662 Views

A coal fire is burning in the bottom of a furnace, with a chimney above it. Air moves into the furnace from an opening at the bottom and up the chimney. Describe how the process of convection causes this air movement.

The air is heated by the coal fire. This causes the air to expand as the molecules move further apart. As a result the air becomes less dense. The less dense air rises. The cooler air from outside the chi...

Answered by James B. • Physics tutor

6788 Views