Question

sin55-cos35+cot45 is equal to _________

Answer 1

Answer:

1

Step-by-step explanation:

sin(90-A)=cosA

sin55=cos35

thus gets cancelled

cot45=1

thus the answer is 1

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Answer 2

sin55°-cos35°+cot45° is equal to 1

Step-by-step explanation:

Given: $\sin55^\circ-\cos35^\circ+\cot45^\circ$

Formula: $\sin(90-\theta)=\cos\theta$

$\Rightarrow \sin55^\circ-\cos35^\circ+\cot45^\circ$

$\Rightarrow \sin(90-35)^\circ-\cos35^\circ+\cot45^\circ$       $\because 55=90-35$

$\Rightarrow \cos35^\circ-\cos35^\circ+\cot45^\circ$       $\because \sin(90-\theta)=\cos\theta$

Cancel like term

$\Rightarrow \cot45^\circ$

$\Rightarrow 1$                        $\because \cot45^\circ=1$

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Trigonometry identity

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