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Chapter 6: Q. 58 (page 396)

Find the exact value of each of the remaining trigonometric functions of 胃.

蝉别肠胃=-2,迟补苍胃>0

Short Answer

Expert verified

The exact values of trigonometric functions are,

蝉颈苍胃=-32迟补苍胃=3肠辞迟胃=33肠蝉肠胃=-233

Step by step solution

01

Step 1. Given Information

Given that the trigonometric function is 蝉别肠胃=-2,迟补苍胃>0.To find the exact values of trigonometric function using substitution.

02

Step 2. Solving a equation

It implies that 蝉颈苍胃<0in III quadrant. On using the equation,

sin2胃+cos2胃=1蝉颈苍胃=卤1-cos2胃

On substituting the value of 肠辞蝉胃=-12in the equation,

蝉颈苍胃=-1--122=-1-14蝉颈苍胃=-32

03

Step 3. Substitution

On substituting the value in equation,

迟补苍胃=yx=蝉颈苍胃肠辞蝉胃=-32-12迟补苍胃=3肠辞迟胃=1迟补苍胃肠辞迟胃=33肠蝉肠胃=1蝉颈苍胃=1-32肠蝉肠胃=-233

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