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SQA Higher Maths Trigonometric Identities

Trigonometric Identities

This page covers the following topics:

Trig identity and it’s applications (1)

Trig identity and it’s applications (2)

We can use both Pythagorean identities to solve algebra and geometry problems.

Applications of trigonometric identities

1

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Prove 2sinΒ²(x) βˆ’ 2 = βˆ’2cosΒ²(x).

SQA Higher Maths Trigonometric Identities Prove 2sinΒ²(x) βˆ’ 2 = βˆ’2cosΒ²(x).
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2

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Find the value of tanx, given that cosx = βˆ’0.7 and x is in the 2nd quadrant. Give your answer correct to two decimal places.

SQA Higher Maths Trigonometric Identities Find the value of tanx, given that cosx = βˆ’0.7 and x is in the 2nd quadrant. Give your answer correct to two decimal places.
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3

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What is cosx/sinx equal to?

SQA Higher Maths Trigonometric Identities What is cosx/sinx equal to?
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4

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cosx = 1/3 and tanx = 2/5, what does sinx equal?

SQA Higher Maths Trigonometric Identities cosx = 1/3 and tanx = 2/5, what does sinx equal?
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5

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Solve 2sinx = cosx for 0 < x < 90 correct to 1 decimal place.

SQA Higher Maths Trigonometric Identities Solve 2sinx = cosx for 0 < x < 90 correct to 1 decimal place.
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6

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Simplify the equation shown.

SQA Higher Maths Trigonometric Identities Simplify the equation shown.
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7

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Simplify cosx + sinxtanx.

SQA Higher Maths Trigonometric Identities Simplify cosx + sinxtanx.
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8

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Simplify (cosx/sinx)((1 βˆ’ cosΒ²x)/(1 βˆ’ sinΒ²x)).

SQA Higher Maths Trigonometric Identities Simplify (cosx/sinx)((1 βˆ’ cosΒ²x)/(1 βˆ’ sinΒ²x)).
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