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In this lesson, we will learn how to solve trigonometric equations using cofunction identities.
Q1:
Find 𝑚 ∠ 𝐵 given 𝑚 ∠ 𝐴 = 4 3 ∘ and s i n c o s 𝐵 = 𝐴 where 𝐵 is an acute angle. Give the answer to the nearest degree.
Q2:
Find the value of c s c c o t t a n c s c ( 9 0 + 𝛼 ) ( 2 7 0 + 𝛽 ) ( 2 7 0 − 𝛼 ) ( 2 7 0 + 𝛽 ) ∘ ∘ ∘ ∘ given 1 7 𝛼 − 8 = 0 s i n , where 0 < 𝜃 < 9 0 ∘ ∘ , and 3 𝛽 + 4 = 0 t a n where 𝛽 is the largest angle in the range ( 0 , 3 6 0 ) ∘ ∘ .
Q3:
Find the value of 𝑋 given c o s s i n ( 𝑋 + 6 ) = 5 1 ∘ ∘ where ( 𝑋 + 6 ) ∘ is an acute angle.
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