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Question

If in ΔABC,B=90,a=12cm,b=13cm, then write all the trigonometric ratios for A and C

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Solution

Given that B=90,AC=13 cm,BC=12 cm
AB2+BC2=AC2
AB=AC2BC2
=(13)2(12)2
=169144=25
=5 cm
For acute angle A , the value of trigonometric ratios are
sinA=BCAC=1213,cosA=ABAC=513,
tanA=BCAB=125
cosecA=ACBC=1312,secA=ACAB=135
cotA=ABBC=512
1869952_1490531_ans_d861507865314cca9b0e3917264b65c9.png

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