IB Math AA SL Pythagorean Identities Questions and Answers for FREE

#MAASL00112 [Maximum Mark: 7] There is an equation $\cos{2x}-\cos{x}^{2}=\sin{x}^{2}$

Find $x$

#MAASL00113 [Maximum Mark: 7] It is given that $\cos{x}=\frac{3}{5}$

Find the value of $\sin{2x}$

#MAASL00100 [Maximum Mark: 7] $f(x)$

is a function with the equation $f(x)=30-2x^{2}$

. The following diagram shows a rectangle that is shaded. Find the x coordinate A such that the rectangle has a maximum.

#MAASL00111 [Maximum Mark: 7] There is an equation $\sin{x}= \frac{6}{8}$

a) Find $\cos{x}$

b) Find $\cos2{x}$

#MAASL00216 [Maximum Mark: 7] It is given that $\cos{x}=\frac{6}{10}$

Find the value of $\sin{2x}$

#MAASL00217 [Maximum Mark: 7] It is given that $\cos{x}=\frac{5}{13}$

Find the value of $\sin{2x}$

#MAASL00168 [Maximum Mark: 7] Let $f(x)= sin(x)+P$

. The function $f$

passes through the point $(0,4)$

a) Find the value of $P$

b)Find the minimum value of the function

#MAASL00177 [Maximum Mark: 6] The depth of water in the port can be modeled by a function, $d(t)=acos(bt)+15$

At high tide the depth is $10$

meters, at low tide the depth is $5$

meters The time it takes for high tide to return is $10$

hours. a) Find $a$

b) Find $b$

c) Use the model to find the depth $5$

hours after high tide

#MAASL00178 [Maximum Mark: 6] The depth of water in the port can be modeled by a function, $d(t)=acos(bt)+15$

At high tide the depth is $20$

meters, at low tide the depth is $12$

meters The time it takes for high tide to return is 15 hours. a) Find $a$

b) Find $b$

c) Use the model to find the depth $4$

hours after high tide

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