Swanstayloebea Swanstayloebea

05-08-2016
Mathematics

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given cos q= - 1/5 and tan q> 0, find sin q

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Panoyin Panoyin

15-08-2016

cos(q) = ⁻¹/₅
cos⁻¹[cos(q)] = cos⁻¹(⁻¹/₅)
q ≈ 1.54

tan(q) > 0
tan⁻¹[tan(q)] > tan⁻¹(0)
q > 0

tan(1.54) > 0
0.03 > 0

sin(q) = sin(1.54)
sin(q) ≈ 0.03

Since tan(1.54) is equal to sin(1.54), they are both greater than zero.

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