if 4 tan theta is equal to 3 evaluate 4 sin theta minus cos theta + 1 by 4 sin theta + cos theta minus one
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Appropriate Question :
If , evaluate .
Required Solution :
Given that,
- 4 tan θ = 3
So,
We know that,
So, we get that :
● Perpendicular = 3
● Base = 4
Now, in order to solve the question we need to find the value of sin θ and cos θ. We know that,
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Finding hypotenuse :
By pythagoras property,
- H = Hypotenuse
- B = Base
- P = Perpendicular
Calculating sin θ :
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Calculating cos θ :
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Substituting the values in given expression ,
Therefore,
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