logarithmic functions: what is the value of; log10(tan A)+log10(cos A) ?
- Thread starter Gr12math
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What have you done, so far, on this exercise? Where did you get stuck?0° is less than A which is less than 90°, and sin A=0.1, what is the value of; log10(tan A)+log10(cos A)
**the 10s are base exponents
Did you begin by drawing a right triangle and using the right-triangle definition of sine to label both the side opposite angle A and the hypotenuse? The Pythagorean Theorem then gives the adjacent side, allowing you to write expressions for tan(A) and cos(A). After that, it's all properties of logarithms, to simplify the given expression. :cool: