# How do you find the exact values of #sintheta# and #tantheta# when #costheta=2/5#?

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To find the exact values of sinθ and tanθ when cosθ = 2/5, you can use the Pythagorean identity for trigonometric functions.

Given that cosθ = 2/5, you can find sinθ using the Pythagorean identity sin^2θ + cos^2θ = 1. Then, solve for sinθ.

Once you have sinθ, you can find tanθ using the relationship tanθ = sinθ / cosθ.

So, you'll find sinθ first and then use it to find tanθ.

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