Question

what is cos square 300 degree + sin square 240 degree + tan 135 degree​

Answer 1

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Answer 2

$cos^{2}$ 300° + $sin^{2}$ 240° + tan 135° = 0

Given -

$cos^{2}$ 300° + $sin^{2}$ 240° + tan 135°

To find - value of the above expression

Step by Step Explanation -

Basic concepts used

• cos (360° - x°) = cos x°
• sin (180° + x°) = -sin x°
• tan (180° - x°) = -tan x°
• $cos^{2} (x) + sin^{2} (x)$ = 1

⇒ $cos^{2}$ 300° + $sin^{2}$ 240° + tan 135°
⇒ $cos^{2}$ (360° - 300°) + $sin^{2}$ (180° + 60°) + tan (180° - 45°)
⇒ {$cos^{2}$ 60° + $sin^{2}$ 60°} + tan (-45°)
⇒ 1 + (-1)
⇒ 0

$cos^{2}$ 300° + $sin^{2}$ 240° + tan 135° = 0

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