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A day full of math games & activities. Find one near you.
Use basic identities to simplify the expression. cot θ sec θ sin θ
Solution:
Trigonometry is one of the most important branches in mathematics.
The word trigonometry is formed by clubbing words 'Trigonon' and 'Metron' which means triangle and measure respectively.
It is the study of the relation between the sides and angles of a right-angled triangle.
It thus helps in finding the measure of unknown dimensions of a right-angled triangle using formulas and identities based on this relationship.
Given :
cot θ sec θ sin θ
We can solve it using trigonometric laws
We know that cot θ = cos θ/sin θ;
sec θ = 1/cos θ
Now put these basic identities into the given expression
(cos θ/sin θ)*(1/cos θ)*sinθ = 1
Use basic identities to simplify the expression. cot θ sec θ sin θ
Summary:
Using basic identities to simplify the expression, we got cot θ sec θ sin θ = 1.
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