Question

evaluate 4 cot 45 degree minus sec square 60 degree + sin 30 degree​

Answer 1

The value of given trigonometric expression is $\dfrac{1}{2}$

Step-by-step explanation:

• Since, we are given to evaluate;

             $4 cot 45^o - sec^260^o + sin 30^o$

• We can solve it very easily as:

• $4 \times \dfrac{1}{tan 45^o} - (1 + tan^260^o) + sin 30^o$

Now, we put the value of each trigonometric function as;

• $4 \times \dfrac{1}{1} - (1 + (\sqrt{3})^2) + \dfrac{1}{2}$

= 4 - 4 + $\dfrac{1}{2}$

= $\dfrac{1}{2}$

Thus, the value of given trigonometric expression is $\dfrac{1}{2}$.

Answer 2

Step-by-step explanation:

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