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Find tanθ + sinθ for the angle θ shown in the right triangle?

Find tanθ + sinθ for the angle θ shown in the right triangle?-example-1

1 Answer

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12.6

Explanation:

We need to find the hypotenuse

hyp² = opp² + adj²

hyp²= 2² + 3²

hyp²= 4 + 9

hyp²= 13

hyp=√13

hyp=3.6

sinθ=opp/hyp

sinθ=2/3.6

sinθ=5.6

cosθ=adj/hyp

cosθ=3/3.6

cosθ= 0.8

tan θ=sinθ/cosθ

tanθ= 5.6/0.8

tanθ=7

tan θ+sinθ

=7+5.6

=12.6

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