How to find the value of tan(−135°)?

Alaina Valenzuela

Alaina Valenzuela

Answered question

2023-02-20

How to find the value of tan-135°?

Answer & Explanation

Lilly Maldonado

Lilly Maldonado

Beginner2023-02-21Added 8 answers

Determine the trigonometric ratio's value at the specified angle:
Let x be the value of tan-135°.
x=tan-135°
=-tan135° [tan-a=-tana]
=-tan1×90°+45
=-sin90°+45°cos90°+45° [ta=sico]
=-cos45°-sin45° [sin90°+a°=cosa°;cos90°+a°=-sina°]
=1212 [sin45°=12;cos45°=12]
=1
Hence, the value of tan(-135°) is 1.

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