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Question

How do you find the value of tan-135°?


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Solution

Calculate the value of trigonometric ratio at given 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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