Find the exact value of each of the remaining trigonometric functions of 0. 24 o

Question

Find the exact value of each of the remaining trigonometric functions of 0. 24 o 25 sin 0 =-, 90' 0 180 cos = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) tan 0 (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) cot 0 = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) sec = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) csc = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)

Explanation / Answer

sin = 24/25

also sin = Perpendicular / Hypotenuse

so, P= 24

H=24 and by applying pythogorous theorem Base (B) = sqrt 252 -242= 7

so now finding other values :

cosec = 1/ sin = 25/24

cos = B/H = -7/25

sec = 1/cos =- 25/7

tan = P/B= -24/7

cot =1/tan= -7/24

** cos, sec, tan and cot are in negative because lies between 90 and 180 i,e, 2nd quadrant, and in 2nd quadrant only sin and cosine are positive and rest are negative.

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