Double angles
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Find sin2x, cos2x, and tan 2x under the given conditions.
23. sinx=5/13 (0<x<pie/2)
ans.
sin 2x = 120/169, cos 2x = 119/169, tan 2x = 120/119
Please explain in detail step by step how to come up with this ans.
25. cos x=-3/5 (pie<x< 3pie/2)
ans. sine 2x=24/25, cos2x=-7/25, tan2x=-24/7
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Solution Summary
This shows how to find the value of cos, sin, and tan of 2x for a given value of sin x.
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23. Since sinx=5/13, then cosx=sqrt(1-(5/13)^2)=12/13
Then we can get
...
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