- A2
- B0
- C−4
- D−2
Step-by-Step Solution
Each fraction pairs complementary angles: sin20° = cos70° and sin31° = cos59°, so both fractions equal 1. Also 8sin30° = . The value is 1 + 1 − 4 = −2.
Answer: D) −2
The value of cos70°/sin20° + cos59°/sin31° − 8sin30° is:
Competition practiceTrigonometry
Master this topic in 30 minutes a day.
Don't just memorise the answer — build a daily practice habit.
Practice 5 Similar Questions Free →All Trigonometry practice questions
More Trigonometry practice
In a right triangle the two acute angles are in the ratio 2 : 1. The sine of the larger…If x = cosecθ + cotθ, then (x² − 1)/(x² + 1) equals:If tan(A + B) = √3 and tan(A − B) = 1/√3, where 0° < A + B ≤ 90° and A > B, then:The product (1 + cotθ − cosecθ)(1 + tanθ + secθ) simplifies to:If sinθ = 1/3, then the value of sin3θ is: